Download Bachelor study program in physics

BACHELOR STUDY PROGRAM IN PHYSICS
TABLE OF CONTENTS
I
II
III
IV
V
VI
Annotation of the program
Characterization of the program
Conditions of matriculation
Bachelor study program in Physics
1.
Study program
2.
Study course and laboratory programs
Evaluation of Bachelor of Physics and Master of Physics study programs
1.
International links of curricula of Physics of Department
of Physics, University of Latvia
2.
Self-evaluation of Bachelor program in Physics
Means of implementation of the study program
1.
Teaching staff and engineering-technical personnel
2.
CV’s of teaching staff
3.
Material and technical resources
Annotations of study courses (A and B)
CV’s or teaching staff
2
3
5
6
6
12
13
13
16
20
20
21
22
2
I
1.1.
1.2.
1.3.
1.4.
1.5.
ANNOTATION OF THE PROGRAM
The Bachelor Study program in Physics offers to acquire the highest academic basic
education in physics as one of the spheres of the fundamental natural sciences. In
accordance with the Classification of Education of the Republic of Latvia the program
corresponds to the code 44.
The program envisages studies of the basic branches of experimental and theoretical
physics and acquiring of the bases of the related academic and applied research methods.
The program is directed towards the branches of the fundamental science and analytical
engineering physics, perspective in the world and Latvia, which are today represented by
the University of Latvia and the associated centres of science and applied research.
The program offers as full choice of studies in traditional (solid-state physics, optics and
spectroscopy, electronics etc.) and also relatively new LU specifications (thermophysics,
hydrodynamics, laser technologies etc.) as possible in competitive level for Latvian
science of physics and national economy.
The program is the academic basis for acquiring the qualification of the higher
professional education of teacher of physics in secondary schools.
The fully acquired program allows to continue studies for the Master degree in Physics
and functionally associated fields, with or without additional conditions, which depend on
the character of the Master degree.
3
II
CHARECTERISATION OF THE PROGRAM
1. Motivation
The program has been created taking into account several major principles.
1.1. This program is the only full, four-year program of this level, which represent the
education of the University in physics. (The academic degree of Bachelor of Physics in
Latvia may be acquired by continuing studies in the 4th and 5th year at Daugavpils
Pedagogical University. In this Pedagogical University there exist different priorities –
the professional education of teachers. The standardised part of the study programs of LU
and DPU are harmonised and/or to be harmonised.
1.2. The Program has succession with the curriculum of Physics, that has existed until 1990 ies,
which was based on the specific features of the science of Physics and national economy
that existed in Latvia in the last decades. This succession to a great extent determined,
and still does, the basis of the highest category staff and laboratory equipment, the lack of
which does not allow to think about the development of the academic study program,
which would be competitive in international level.
1.3. The program has orientation towards the perspectives of the development of science and
national economy, which can be forecasted in nearest or more distant future, mainly in
intellectually capacious spheres which need widely educated individuals, which are
competent in the modern technologies of natural sciences.
1.4. The aforesaid criteria to a great extent has determined the evolution of this program. The
modules of the compulsory subjects, that contain the part of physics, which in accordance
with experts, is the contents of the classical education, since the versions of bachelor
programs existing in 1991/1993 has been changing adiabatically. That ensures the
stability of the program. Whereas the modules of the compulsory option /B/ are
undergoing more rapid changes as they reflect the variable situation of specialists,
material resources, financing and labour market. That ensures the mobility of the
program.
2.
Amount
2.1.
The total amount of the program in the offered version is 164 credits of LU, which should
be obtained during 8 terms of full time studies. The standardised /A/ section of the
program is evaluated with 115 credits of LU, the /B/ section of compulsory option – with
34 credits of LU, the section /C/ of free option – with 15 credits of LU.
After passing the term examinations and course tests the aspirant to the academic degree
of the Bachelor of Natural Sciences in Physics has to defend an individual Bachelor
Paper (10 credits of LU), which compulsory has to be with scientific line, and to pass the
Bachelor examination in Physics.
2.2.
4
3.
Structure
The Program is organised by its main modules, whose inner structure may be dynamically
changed, in some cases and components allowing individual studies as well. This condition is
determined by the still unstable labour market in Latvia, the existing problems of prestige of the
exact sciences, the adaptation problems of study structure in the international context of
universities, minimal possibilities of material resources, other criteria.
3.1.
The modules of the compulsory subjects /A/ are the following:
GPh
PhL
HM
CP
TPh
FL
General Physics – 20 credits (12%)
Practical classes and laboratories in Physics – 20 credits (12%)
Higher mathematics (classical subjects) – 27 credits (16%)
Introduction to computers, software and computing methods – 8 credits (5%)
Theoretical Physics (classical subjects) – 16 credits (10%)
Foreign languages – 6 credits (4%)
3.2.
The modules of the compulsory optional subjects /B/ are the following
EPh
Experimental Physics – 34 credits (21%)
(optional courses and laboratory works in the spheres of research methods and
technology of optics, laserphysics, solid-state physics);
TPh and EPh Theoretical physics and Engineering Physics – 34 credits (21%)
(optional courses and practical classes in quantum physics, hydrodynamics, non-linear
processes, computer modelling, thermophysics, mechanics of solid substance and other
courses).
A
Astronomy and astrophysics
(individual module, upon co-ordination with the customer).
The key to the subjects of the modules of the compulsory option can be found in B plans, the
concrete possibility of option is regulated by the schedule of the current academic year (not all
potentially offered B subjects are obligatory lectured in the current term).
The combinations of individual B subjects, which are equal to, or larger than the minimal
amount of credits (34 LU credits) may be included in the modules of the compulsory option.
5
III
1.1.
1.2.
CONDITIONS OF MATRICULATION
The general order of matriculation in the Bachelor Study Program in Physics is
determined by the Conditions of Enrolment and Order of Matriculation in the University
of Latvia (Resolution No 195 of the Senate of LU as of February 23, 1998).
Special conditions of matriculation in the Bachelor Study Program in Physics:

persons which in the document certifying the secondary education
have the examination and/or subject mark in Physics may apply for the studies;

the applicant should pass the entrance examination in Physics in the
amount of the basic course in Physics of secondary school in case the school
examination and/or subject mark in Physics is lower than "7";

in case of equal marks of the entrance examination and certificate
marks in Physics, higher place in the competition is gained by the applicant with
higher mean certificate mark in Geometry and Algebra;

in case of equal subject marks in Physics in the certificate competition
the preference is given to applicants with equal or higher mark in the examination in
Physics;

the persons, which have won the first three places in contests of
Physics and/or Astronomy of Latvia and LU, the persons, which have won the first
three places in international contests of Physics and/or Astronomy may register for
studies without entrance examinations and participation in competition.
6
IV
BACHELOR STUDY PROGRAM IN PHYSICS
1.
Study Program
7
BACHELOR STUDY PROGRAM IN PHYSICS
/credits of LU/
Subjects
GPh
Mechanics
Structure of substance
1.t.
2.t.
3.t.
4.t.
6.t.
7.t.
Σ
%
20
12
4
2
20
12
8
5
16
10
4
2
27
16
2
1
32
20
6
4
15
9
10
7
164
100
4
4
Optics
4
Quantum physics
4
Astronomy and astrophysics
PhL
Practical classes and
laboratories in Physics
CP
Computers, software and introduction to computing methods
TPh
Theoretical mechanics
Electrodynamics and the theory
of relativity
Quantum mechanics
Thermodynamics and statistical
physics
4
4
4
4
4
4
4
4
4
4
4
4
Chemistry
HM
8.t.
4
Electromagnetism
A
5.t.
4
Higher mathematics for
physicists
7
7
4
S
Introductory seminar
2
B
Optional courses
2
4
FL
Foreign language
3
3
C
Free option
3
7
4
3
2
4
3
6
3
6
6
3
Bachelor paper
Total in one term
17
Designations used in the table:
GPh
General physics
A
Astronomy and astrophysics
TPh
Theoretical physics
FL
Foreign language
C
Free choice
20
22
PhL
CP
AM
B
22
21
21
21
20
Practical classes and laboratories in Physics
Computers, software and introduction to
computing methods
Higher mathematics for physicists
Compulsory option
8
BACHELOR STUDY PROGRAM IN PHYSICS
/examinations and tests/
Subjects
GPh
1.t.
Mechanics
Structure of substance
2.t.
3.t.
4.t.
6.t.
E
Quantum physics
E
Astronomy and astrophysics
E
PhL
Practical classes and laboratories in Physics
CP
Computers, software and introduction to
computing methods
TPh
Theoretical mechanics
Electrodynamics and the theory of relativity
Quantum mechanics
Thermodynamics and statistical physics
T
T
T
T
T
T
T
E
E
E
E
Chemistry
E
HM
Higher mathematics for physicists
2E
S
B
FL
C
Introductory seminar
Optional courses
Foreign language
Free option
Bachelor examination
T
T/E
8.t.
E
Optics
Designations used in the table:
GPh
General physics
A
Astronomy and astrophysics
TPh
Theoretical physics
FL
Foreign language
C
Free choice
7.t.
E
Electromagnetism
A
5.t.
E
T, E
E
T, E
T
T/E
T
T/E
E
T/E
T/E
T/E
T/E
T/E
T/E
T/E
T/E
T/E
T/E
E
PhL
CP
AM
B
Practical classes and laboratories in Physics
Computers, software and introduction to
computing methods
Higher mathematics for physicists
Compulsory option
the form of examination of the compulsory optional /B/ courses are given in the tables of the course
descriptions
9
BACHELOR STUDY PROGRAM IN PHYSICS
/Practical classes and laboratories in Physics/
Subjects
PhL
1.t.
Practical class in mechanics
Practical class in structure of
substance and molecular physics
Practical class in electricity
Practical class in optics
Laboratory of nuclear physics
and spectroscopy
Laboratory of discrete and
analogue electronics
Laboratory of solid-state physics
2.t.
3.t.
4.t.
5.t.
6.t.
7.t.
8.t.
T
T
T
T
T
T
T
BACHELOR STUDY PROGRAM IN PHYSICS
/Courses of Higher Mathematics /
Credits
HM
1.t.
4
3
4
3
4
5
2
Mathematical analysis –1
Algebra and geometry –1
Mathematical analysis – 2
Algebra and geometry – 2
Mathematical analysis – 3
Differential equations
Theory of probability and
mathematical statistics
Theory of complex variable
function
E
E
2
2.t.
3.t.
4.t.
5.t.
T
E
E
E
T
T
6.t.
7.t.
8.t.
10
BACHELOR STUDY PROGRAM IN PHYSICS
/B compulsory option – Theoretical Physics and Engineering Physics /
Credits
Subjects
1.t.
2.t.
3.t.
4.t.
5.t.
6.t.
7.t.
8.t.
2
Introductory seminar to physics and
engineering physics
2
Introduction to hydrodynamics and
thermophysics
2
Introduction to solid-state mechanics
E
EPh
2
Introduction to computer modelling
T
TPh/EPh
2
Computing physics
T
TPh/EPh
2
Tensor analysis
E
TPh/EPh
2
Numerical methods
T
TPh/EPh
4
Mathematical methods of physics
2
Theory of elasticity
E
EPh
1
Soliton physics
E
TPh/EPh
1
Non-linear systems – 1
T
TPh/EPh
2
Approximated methods
T
TPh/EPh
2
Theory of groups
T
TPh
4
Theoretical hydrodynamics
E
TPh/EPh
2
Non-linear systems – 2
E
TPh
2
Numerical hydrodynamics
T
EPh
4
Compositions of atoms and molecules
E
TPh
2
Physics of condensed medium
T
TPh
2
Mechanics of composite materials
E
EPh
2
Methods of final and boundary
elements
E
EPh
2
Introduction to heat and mass transfer
E
EPh
T
TPh/EPh
E
TPh/EPh
E
TPh/EPh
11
BACHELOR STUDY PROGRAM IN PHYSICS
/B compulsory option – Experimental Physics /
Credits
Subjects
1.t.
2.t.
3.t.
4.t.
5.t.
6.t.
7.t.
8.t.
2
Introductory seminar in physics and
engineering physics
Materials in nature and technique
2
Methods of experimental physics
E
2
Seminar in technologies of measuring
physical values
T
4
Spectral measurements
2
Holography and Fourier optics
E
2
Statistical processing of experimental data
T
2
Physics of crystalline substances
E
2
Physics of non-crystalline substances
T
2
Laser physics
E
2
Physics of dielectrics
T
2
Physics of surface and metals
T
2
Laboratory works (methods of optical and
laser technique)
T
2
Paradoxes of quantum physics
T
2
Introduction to photonics
T
2
Spectroscopy of atoms and molecules
E
2
Laboratory of laser spectroscopy
T
2
T
T
E
12
2.
Study course and laboratory programs
13
V
Evaluation of Bachelor of Physics and Master of Physics study programs
1. International links of curricula of physics, Department of Physics,
University of Latvia
In 1992 the Council of European Physical Society (EPS) adopted the document, which based on the
Protocol of Agreement No 138 (June 21, 1990) of Council of Europe on Equivalence of Period of
University Study and UNESCO Convention on the Recognition of Studies, Diplomas and Degrees
concerning Higher Education in the States belonging to the European Region (December 21, 1979) have
founded the European Mobility Scheme for Physics Students – EMSPS [1]. EMSPS is regulated by the
Convention regarding the European Mobility Scheme for Physics Students) [2].
The partner-universities of EMSPS, upon joining EPS, undertake to mutually co-ordinate the study
programs in physics and evaluation criteria in universities, to enroll in their universities the students from
the partner-universities for one academic year without study fee and to equal the amount of the studies
accomplished by their students in the partner-universities to the respective amount of the studies of their
universities.
The Rector of the University of Latvia, prof. J.Zaķis supported the joining of the Department of
Physics (DPh) of the Faculty of Physics and Mathematics of the University of Latvia and in 1992 signed
the confirming document. DPh in this exchange program as a partner of equal worth participates since the
academic year of 1993/94 (the program co-ordinator Prof. M.Auziņš) – it means from the very first days
of the program. Today the program joins 177 universities of Western, Central and Eastern European
countries.
The main financial source of the program is ERASMUS scheme which is available only for the
universities of Western Europe. But in the framework of TEMPUS program it is possible to apply for the
projects that finance the mobility of such students (mainly scholarships, which cover accommodation
expenses during studies in a partner-university). DPh has twice realised such TEMPUS project. Initially
in the academic year of 1993/94 it was an experimental project of one year and later in 1994-1997 the
financing for full term (3 years) TEMPUS project was received.
In the framework of this project during the four years about 20 students of third and fourth year of the
Bachelor program have spent one academic year in the universities of Western Europe (Great Britain –
Manchester, Cardiff, Canterbury; Germany – Hannover, Kaiserslautern, Duisburg; the Netherlands –
Gronningen; Switzerland – Zurich and Sweden – Umea). In order to increase the number of the exchange
students and to include the countries, which at that time was not the member-states of European Union
(Switzerland, Sweden), due to the fact that the TEMPUS financing may be used only by the memberstates of European Union, a new source of financing was obtained (approximately 50% of the resources,
assigned by TEMPUS) from EPS and Swedish Council for the Higher Education.
All exchange students of LU DPh for hundred percent fulfilled the program of the respective year of
the partner-university and for hundred percent passed all necessary examinations and tests. In some cases
the final (bachelor) examination in physics was passed (three students at Manchester University and one –
at Canterbury University) and elaborated the Bachelor paper. The average evaluation of the students'
works is above the average level of the respective partner-university. Quite often in the characterizations
received by the students it is evaluated as excellent. The study load of the students at partner-universities
was often greater that usual, as besides the study program in physics they attended the language courses
in order to master the foreign language.
14
The LU DPh educating program of physics during all years of this co-operation has been constantly
improved and co-ordinated with the study programs of the partner-universities. Participation in the
EMSPS scheme has given LU DPh the access to the electronic data base, which has been created upon the
initiative of European Physical Society and is financed from the resources of the Society and is located in
the Manchester University. This data base contains the study programs in physics of all partneruniversities. There is also created a system of electronic exchange of information, which is based on use
of e-mail and allows all co-ordinators of EMSPS of the partner-universities to effectively exchange the
operative information, including co-ordination of the study programs for exchange students and to
centralised receive information from EPS about the topical matters of everyday work for implementation
of EMSPS. In addition to the exchange of information among the co-ordinators of EMSPS without
contacts in person, there have taken place several meetings of the co-ordinators in presence. In 1995 the
meeting took place in Hannover (Germany), in 1996 – in Krakow (Poland) and in 1997 – in Grenoble
(France). At all these meetings there was stressed the high level of students and programs of physics in
three Central and Eastern European countries. These countries are Latvia, Poland and Hungary. The
evaluation was given in the reports of the EPS representative in EMSPS, who is responsible for Central
and Eastern European countries – Prof. Peter U.Sauer – Hannover University) submitted to EPS and the
office of TEMPUS.
The level of studies in physics in LU DPh has allowed the representative of this department (M.
Auziņš) to be included in the Scientific Committee, which has prepared the conference Physics Studies
for Tomorrow’s Europe [3] sponsored by European Commission’s (EC) new Directorate-General for
Education and later to work in the framework of the group of this conference. The conference was held in
Belgium – Gent on April 7-8, 1995. During this conference it was decided to create the European Physics
Education Network (EUPEN) [4], which would continue the co-ordination of the study programs in
physics and evaluation criteria in universities of Europe. LU DPh participates in the work of this
association since the day of its foundation (co-ordinator – Prof. M.Auziņš). In the work of EUPEN today
there participate 106 universities of Europe and their number is continuing to increase.
EUPEN is supported by European Physical Society and it receives financing in the framework of the
SOCRATES program of European Union. One has to hope that in the nearest future Latvia also will
become the member-state of the SOCRATES program, which would allow to use the SOCRATES
financing directly for the activities related with Latvia as well.
One of the main targets, which is set by EUPEN, is to carry out the comparative study of the structure
and contents of university study programs in physics in European countries. The aim of this study is to
define the tasks of university education in physics common for Europe, to elaborate joint criteria that
would allow to compare and evaluate the quality of teaching physics and to favour increasing of this
quality in departments of physics of universities, which co-operate in the framework of EUPEN project. It
was also set as a target to evaluate the amount of students' and lecturers' work and elaboration of
recommendations for optimisation of these parameters. Another aim is to elaborate the minimal
requirements, common for Europe, which would be compulsory for all European countries, in order that
holders of school completion certificates could start studies in the study program in physics at university
level, as well as minimal requirements for acquiring the first level grade in physics.
One should mention the elaboration of European Credit Transfer System (ECTS) as quite advanced
issue, which would facilitate the evaluation of amount of students' work and the attained results, by
spending certain time at the university of some other country. The work at ECTS is going on commonly
in the whole university system of Europe, but in respect to teaching of physics there exist some
peculiarities, whose study and analysis is carried out by the EUPEN project.
The first meeting in presence of the Scientific Committee of the EUPEN program took place in
September 1996 in Seville (Spain) during the EPS 10th General Conference [5]. LU
17
DPh at this meeting was represented by Prof. M.Auziņš in person. In the program of the EPS 10th
Conference great attention was paid to the matters of teaching physics at schools and universities, as well
as to problems, which are connected with the changes of the labour market for the winners of all level
degrees in physics..
15
EUPEN is regularly publishing information leaflets, which reflect topical matters of EUPEN activity
and attained results [6].
Literature
[1] EMSPS homepage http://info.mcc.ac.uk/emsps/
Contract of LU DPh EMSPS with TEMPUS
Information leaflet of EMSPS
[2] EMSPS convention http://info.mcc.ac.uk/emsps/rconv.html
[3] Physics Education for Tomorrow’s Europe homepage
http://allserv.rug.ac.be/~hferdin/tec/conf.html
Europhys. News, 26 (1995) p.69/71
[4] EUPEN homepage http://allserv.rug.ac.be/~hferdin/eupen/
[5] Europhys. News, 27 (1996) p. 172/177
[6] EUPEN Newsletter http://allserv.rug.ac.be/~hferdin/eupen/eol.html
16
2. Self-evaluation of Bachelor program in Physics
1.
Student's amount of work
The academic amount of work for students, which is necessary to acquire the bachelor degree in
physics, is interesting due to several reasons.
Firstly, it is one of the possibilities to measure the amount of work necessary for obtaining the
academic degree.
Secondly, it is an essential component for implementation of ECTS system of credits, which is the
credit transfer system, based on the student's annual amount of work.
Thirdly, it is essential when defining the aim of education and determining the strategy of the
training process.
Fourthly, it is essential as a social and economic factor as it should be harmonised with the amount
of time available to students and the time, which students spend for other activities (sports, cultural
activities, part-time job, etc.) in addition to the direct academic work of the students.
Nevertheless one should bear in mind that the student's amount of work is not directly characterizing
the academic level which is achieved during the process of studies. Similarly it also does not directly
show the ability of students after the end of studies to work in professions, which in one or another way
are related to physics, as well as to successfully compete in competitions for studies in the programs of
doctor's degree both in universities of Latvia and Western Europe.
In Europe there exist very significant differences in student's amount of work in different programs of
physics.
2.
Statistical data
The statistical data used for evaluation of programs in physics are obtained from the analysis of the
programs in physics of European universities, carried out by European Physics Education Network. The
Department of Physics, University of Latvia, is also the member of this Network and participates in
carrying out this analysis.
3.
Results of the comparative analysis
The bachelor program of University of Latvia has been compared with average bachelor program in
European universities. This average conditioned bachelor program is obtained by analysing the statistical
data from the poll which was carried out in almost one hundred European universities that participate in
the work of the European Physics Education Network.
The analysis has been carried out by comparing the bachelor programs in physics totally in the first
three years of study. Such choice is determined by the fact that the study program of the fourth year in
various universities differs a lot and their comparison is quite difficult. The Bachelor program in Physics
of the fourth year at University of Latvia is also to a great extent oriented towards the B part and the
international comparison here is very conditioned. For the control of the statistical results there are used
the real study programs of universities of some European regions (Hannover University, Germany;
Jyvaskyla University, Finland; Manchester University, England; Milan University, Italy; universities of
Copenhagen, Denmark, etc.). In the reduction to the modules of subjects of the Bachelor program in
Physics of University of Latvia the comparison of the studies is showed in the Table 1 and Table 2.
In the analysis one can see several peculiarities of the Bachelor program in Physics of University of
Latvia.
Firstly, the total load on students' attendance at University of Latvia is considerably greater than the
average load of students' attendance in Europe. Such situation is caused by
17
the insufficient supply of the libraries of University of Latvia, which limit the possibilities of students'
individual work.
Secondly, the optional part of the Bachelor program in Physics of University of Latvia is
proportionally large. That describes the general situation in physics in Latvia as in the Department of
Physics there work all professors elected in habilitation councils and each of them represent well
developed subsection of physics, as well as the wide range of scientific-research institutions of physics in
Latvia.
If one compares the percentage division of the sections of the Bachelor program in Physics, the
program seems well balanced and corresponds to the average showing of European bachelor program in
physics.
18
Table 1
Three years total. Hour distribution
600
500
400
Eiropa
Fizikas nodaļa
300
200
100
0
Mathematics
General
Physics
Labs
Computers
Chemistry
Foreign
language
Theoretical
Physics
Electronics
Free choice
Others
Table 2
Three years total. Percentage distribution
35.0
30.0
25.0
20.0
Eiropa rel
FN rel
15.0
10.0
5.0
Fr
ee
O
th
er
s
ch
o
ic
e
ni
cs
El
ec
tro
ic
al
Ph
y
si
cs
ge
et
la
ng
ua
Th
eo
r
is
try
Fo
re
ig
n
C
he
m
rs
La
bs
om
pu
te
C
lP
er
a
G
en
M
at
h
em
at
ic
s
hy
si
cs
0.0
19
CHARACTERISATION OF THE SCIENCE OF PHYSICS
The fundamental and applied research in physics in Latvia are mainly carried out at University of
Latvia (10 projects) and at the institutes, integrated in it, which have the status of a legal entity: Institute
of Solid-State Physics (25 projects), Institute of Polymer Mechanics (1 project) and Institute of Physics
(25 projects). Outside LU the following institutions are involved in physics: Daugavpils Pedagogical
University (2 projects), Institute of Physical Power Industry (4 projects), the former Centre of Nuclear
Research (6 projects) and Technical University (7 projects). 75% of the total financing, assigned to the
projects of fundamental and applied research in physics, are received by the physicists of University of
Latvia.
The science of physics gives also a basic contribution in two of the 22 Research programs of the
Latvian Council of Science:
1.
"Synthesis, Research and Elaboration of New Materials to be Used in Microelectronics and
Photonics"
2.
"Modelling of the Hydrodynamic Processes of Latvian Coastal Zone and Underground".
These programs search for the possibilities of practical application of the achievements of the science
of physics. More than half of the resources allotted to the aforesaid programs are received by the
physicists of University of Latvia.
It means that today in Latvia the potential of the science of physics is concentrated in University of
Latvia. That creates promising possibilities for provision of bachelor, master and doctor studies. One
should stress, that the academic staff (25 persons) of the Department of Physics, Faculty of Physics and
Mathematics of University of Latvia may build on numerically much larger scientific staff (more that 100
scientists) working at the scientific institutions related to LU.
The bottleneck both in the academic and scientific staff of the physicists is their great average age,
which goes beyond 50 years. In many cases this situation does not encourage creative approach to the
work. Therefore the most topical task of LU physicists is creation of normal age structure.
20
VI
MEANS FOR IMPLEMENTATION OF THE STUDY PROGRAM
1.
Teaching staff and engineering-technical personnel
1.1.
The Bachelor Study Program in Physics is fully covered by the teaching staff and engineeringtechnical personnel of the Department of Physics, which at the same time participate in realisation
of Study programs of Master of Physics and Doctor of Physics.
1.2.
The scientific qualification of the teaching staff, which lecture for the bachelor degree, is
characterised by the following:
13 habilitated doctors of science,
14 doctors of science,
2 teachers, which have the academic master degree.
The academic qualification of the teaching staff, which lecture for the bachelor degree, is
characterised by the following: 11 professors, 14 assistant professors, 4 lecturers.
1.3.
Among the teaching staff, which lecture for the bachelor degree, there are 7 professors, elected in
LU Councils of Habilitation and Promotion of Physics: 3 – full time in LU, 4 – half-time in LU:
Nuclear and Molecular Physics – professor Mārcis Auziņš (full time)
Optics – professor Ruvins Ferbers (full time)
Physics of Crystalline Substances – professor Ivars Tāle (full time)
Theoretical Physics – professor Andrejs Cēbers (half-time)
Physics of Segnetoelectrics – professor Andris Krūmiņš (half-time)
Physics of Non-Crystalline Substances – professor Andrejs Siliņš (half-time)
Mechanics of Solid Substance – professor Vitauts Tamužs (half-time).
1.4.
The material, technical, electronic and computer service of the Bachelor Study Program in
Physics is provided by the engineering-technical personnel of the chairs and laboratories of the
Department of Physics – 28 specialists. In this work there also participate the Faculty of Physics
and Mathematics and the scientific structures of LU, related to the service of the study programs
(see Item 3 of this chapter).
21
2.
Academic staff, CV
Academic staff,
Teaching in Bachelor of Physics programme
First name, Family name
Marcis Auzinsh
Imants Bersons
Andrejs Cebers
Ruvin Ferber
Andris Krumins
Gunars Sermons
Andrejs Silins
Janis Spigulis
Edvins Shilters
Ivars Tale
Vitauts P. Tamuzs
Boriss Zapols
Janis Abolins
Andris Broks
Leonids Buligins
Janis Harja
Vladimirs Ivins
Andris Jakovichs
Ilmars Madzhulis
Andris Muizhnieks
Juris Ozols
Valdis Revalds
Tomass Romanovskis
Laimdota Shnidere
Juris Zhagars
Ivars Drikis
Sandris Lacis
First name, Family name
Mihails Belovs
Dzintra Damberga
Ojars Judrups
Ojars Lietuvietis
Janis Smotrovs
Scientific degree
Position
Dr. habil. phys.
Dr. habil. phys.
Dr. habil. phys.
Dr. habil. phys.
Dr. habil. phys.
Dr. habil. phys.
Dr. habil. phys.
Dr. habil phys.
Dr. habil. phys.
Dr. habil. phys.
Dr. habil. phys.
Dr. habil. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Dr. phys.
Professor
Professor
Professor
Professor
Professor
Professor
Professor
Professor
Professor
Professor
Professor
Docent
Docent
Docent
Docent
Docent
Docent
Docent
Docent
Docent
Docent
Docent
Docent
Docent
Docent
Lecturer
Lecturer
Scientific degree
Position
Dr. math.
Mgr. Math.
Dr. math.
Dr. math.
Mgr. Math.
Docent
Lecturer
Docent
Docent
Lecturer
22
3. Material and technical resources
3.1.
The Bachelor Study Program in Physics is realised by the Department of Physics of the Faculty of
Physics and Mathematics. The material resources of the Program are ensured by the chairs of the
Department of Physics, teaching and research laboratories of the chairs, which upon the
resolution of the Council of the Faculty, have been transferred in the supervision of the
Department of Physics. In the study work there participate the scientific laboratories and institutes
of the Faculty, LU institutes associated with the Faculty which have respective profile.
3.2.
The basic structure of the Department of Physics have the following laboratories or practical
classes, related to the studies or research work of students, connected with the realisation of the A
and B sections of the bachelor study programs, as well as the subsections of master study
programs in physics:
in the Chair of Experimental Physics (head Dr. hab. phys. M. Auziņš)
Laboratory of Nuclear Physics and Spectroscopy (head M. phys. Ā. Deme)
Laboratory of Roentgen Structural Analysis (head I. Brante)
Laboratory of Thermography (head Dr. phys. L. Šnīdere)
Laboratory of Holography (head Dr. phys. J. Harja)
Practical Class in Mechanics and Molecular Physics (head P. Bricis)
Practical Class in Electricity and Optics (head G. Sala)
Laboratory of Electronics (head R.Broka)
Demonstration room of Physics (head L. Dīriķe)
Laboratory for Modelling Environmental and Technological Processes
(head Dr.phys. A. Jakovičs)
Training Centre for Computer Technologies (head Dr.phys. L. Buligins)
3.3.
In the realisation of the bachelor study program, in accordance with the study plans, there
participate
Laboratory of Atmosphere Pollution and Atmospheric Photochenistry
(head Dr.hab.phys. U. Bēziņš)
Laboratory of Human and Nature Friendly Technologies
(head Dr.phys. A. Ūbelis)
Laboratory for Polarisation of Molecules (head Dr.hab. phys. R. Ferbers)
Department of Theoretical Physics (head Dr.hab.phys. E. Gailīte)
Group of Fibre Optics and Biomedical Optics (head Dr.hab.phys. J. Spīgulis)
of the Institute of Nuclear Physics and Spectroscopy (Director Dr. hab. phys. M.Auziņš) of the
Faculty of Physics and Mathematics.
3.4.
In the realisation of the bachelor study programs, in some components, based on the agreement on
co-operation among the Faculty of Physics and Mathematics and the institute or based on other
agreement, there participate:
Institute of Solid-State Physics of University of Latvia
(Director Dr. hab.phys. A. Krūmiņš)
Institute of Physics of University of Latvia (Director Dr. phys. A. Gailītis)
Institute of Polymer Mechanics of University of Latvia
(Director Dr. hab. ing. J. Jansons)
Institute of Astronomy of University of Latvia (Director Dr. phys. J. Žagars)
3.5.
In lecturing on mathematical subjects, methods of data processing and software there participate:
The Chair of Theoretical Physics, Department of Physics
(head Dr. hab. phys. A. Cēbers)
The Chair of General Mathematics, Department of Mathematics
(head Dr. math. J.Mencis)
Computer class of the Department of Mathematics.
23
4.
4.1.
4.2.
4.3.
Financing
The expenses of the bachelor and master study programs is formed by the following:
students' scholarship fund, salary fund of the teaching staff, salary fund of the engineeringtechnical personnel of laboratories, salary fund of the pedagogical staff, fund for hourly payment,
payments, costs of materials, reagents etc., purchase of laboratory equipment and appliances,
amortisation expenses of laboratories, library fund, expenses of infrastructure and public facilities.
The expenses of the bachelor and master study programs in physics can not be divided due to
the fact that the programs financially are contained in one section of the financial expenses of the
Department of Physics.
The students are matriculated in the bachelor and master study programs in physics for the
resources of the State budget, namely, the financing of the programs is the share of the basic budget
of LU, which annually is assigned for them by the Senate of LU. This share is orientated towards
the fulfilment of bachelor and master study programs during the period up to 2000 for 200 places
of full-time studies in 12 study semesters (6 study years).
The real expenses of the bachelor and master study programs in physics depend on the
assignment of the Senate of LU and may be determined only in that part which concerns the
competence of the Department of Physics. The financing of the programs in 1998 is illustrated by
the Table 1:
Table 1
Financing of bachelor and master study programs in physics in 1998
1. Financing for pedagogical, laboratory and office work personnel
Financing of the program
Payment to the salary fund of professors
Additional payment to the salary fund of professors
Laboratory personnel
Pedagogical personnel
Office work personnel
Total:
Ls
Ls
Ls
Ls
Ls
Ls
Ls
33943.00
12600.00
4368.00
14332.00
2958.00
2572.00
74921.00
2. Fund for hourly payment and resources for inter-faculty payments
Fund for hourly payment
For inter-faculty payments
Ls 592.00
Ls 1503.00
3. Financing for maintenance of material and technical resources of laboratories
Materials
Ls
765.00
24
From the example of the total amount of Ls 77781.00 of the financing assigned in 1998 it follows that
for one conditioned study place in the Bachelor and Master study programs in Physics the Department of
Physics can use Ls 3889.
In its turn from the exemplary calculation of expenses of the Bachelor study program in Physics (LU
algorithm of 1997, see Table 2) it follows that the minimal direct expenses of the programs for one
student are Ls 747.1 (assuming that the expenses of the students in B and M programs are equal).
Namely, real expenses of 1 student studying for the resources of the State budget is 52% from the
minimally necessary expenses. This proportion is potentially decreased by the inclusion of the
doctoranture in the total balance of expenses etc. factors which influence the budget of study programs.
Table 2
Expenses of one student studying in the bachelor program
N1
N2
N3
Salary fund per 1 student per year, Ls.
Social payments of the employer per 1 student per year (28%)
Expenses for business trips and detached duties per 1 student per year, Ls.
mailing and other expenses per 1 student per year, Ls.
N4
Payment for services – total Ls.
N5
purchase of teaching aids and materials per 1 student per year, Ls.
stationery and other inventory of little value, Ls.
Purchase of materials and inventory of little value per 1 student per
other services (making copies, printing-office, fax etc.)
13
14
15
16
17
18
19
20
21
457.28
128.04
4.84
0.7
6
6.7
64
5.2
69.2
22
23
24
25
26
27
32
33
34
35
36
1
5
30
6.2
15
21.2
3
2.25
5.25
45.5
0.2
37
38
9.1
54.6
39
40
747.11
41
280.35
42
1050.54
year, Ls.
N6
N7
N8
textbooks per 1 student per year
time of service of books in years
price of one book
costs of purchase of books per 1 student per year, Ls
costs of purchase of magazines per 1 student per year, Ls.
Costs of purchase of books and magazines per 1 student per year, Ls.
for sports per 1 student per year, Ls.
for amateur performances per 1 student per year, Ls.
For the social ensurance of students per 1 student per year, Ls.
purchase of equipment per 1 student per year, Ls.
modernisation of investment equipment - 20% of the inventory
costs
expenses for modernisation of equipment, Ls
Costs for purchase and modernisation of equipment per 1 student per
year, Ls
TOTAL
direct expenses per 1 student per year, Ls.
N9
Expenses for ensuring the work of the library of LU (3% of
the resources disposable by the structural units), Ls
N10 Indirect expenses for ensuring the work of LU (26.7% from the total
23.09
incomes), Ls
Total expenses for one student per year, Ls
4.4.
The staff and material-technical resources of the Bachelor and Master study programs in Physics in
respect of quality and possibilities of potential offers ensure the quality of the programs, in addition
with guarantied reserve of resources. The financial provision of the Bachelor and Master study
programs in Physics from the State budget is at least 2-3 times less than necessary (for
development of mobility of the students of these programs, teaching staff corps, engineeringtechnical personnel, material resources).
Courses:
A
Mechanics
docent Leonīds Buligins
4
1
Author
Credits
Semester
Examination form
Prerequisite
Exam
Basic physics knowledge
Course code
Course group
Compulsory
Annotation
Laws of clasical mechanics and their applications to the motion of macroscopic bodies. Models
of mechanics – material point, system of material points, solid bodies, elastic bodies, ideal and
viscous fluids.
Content
Introduction. Kinematics of material point. Dynamics of material point. Dynamics of the system
of material points. Motion in gravitational field. Motion of solid bodies. Noninertial frames of
reference. Oscilations. Mechanics of continuum media. Models of continuum media. Stress and
strain in solids. Waves. Acoustics. Mechanics of fluids and gases.
Requirements
Ability of solving problems in mechanics, exam in theory.
Literature.
1. I. Petrovskis. Mehānika.- R.: Zvaigzne,1976.
2. S. Strelkovs. Mehānika.-M.:1975 (krievu val.)
3. D. Sivuhins. Vispārējais mehānikas kurss.-M.:,1979. (krievu val.)
Structure of matter and thermal processes
Author
Prof. I. Tale
Study program
Semester
Credits
Test form
bachelor in physics
2
4
examination
Indicative abstract
The course includes the general concepts of the structure of matter and thermal processes on the basis of
statistical and thermodynamic approaches in the mesoscopic and macroscopic scales.
Content
The molecular- kinetic concepts of gas. Ideal gas, parameters of state. Pressure. Statistical mean value of
physical parameters. Temperature, methods of temperature measurements. The equation of the ideal gas
state. Degree of freedom. Gas in the gravity field. The basics of the statistical mechanics. Micro- and
macro- states of the system. Two systems in thermal contact. System and reservoir. Entropy and
temperature. Tendency of the entropy growth – second law of thermodynamics. Aditivity of entropy. Two
systems in diffusion contact. Chemical potential.
Canonic distributions. Statistic sum. The maean square velocity and the mean velocity of particles. Ideal
gas statistics. Phenomenology of the transport processes. Mass transport. Heat conductivity. Diffusion.
Thermodynamic system.. The inner energy, work, heat. The first law of thermodynamics. Quasi-static and
non-static processes. Freedom states of matter; heat capacity. Adiabatic and polytropic processes. Cycles
of processes. Heat engines. Karno cycle. Clausius relations. Entropy. The second and third laws of
thermodynamics. Thermodynamic functions. Real gas. Van-derWaals gas state equation. Critical
temperature. Phase equilibrium. Interaction forces and the inner energy. Joule-Thomson effect.
Structure of matter. Atoms. Electron orbitals, hybride orbitals. Bonds: covalent, ionic, metallic, hydrogen,
Van-der-Waals bonds. Structure of crystals. Translations lattice. Simplest structures of crystals. Lattice
dinamics. Heat capacity. Dilong-Pty law. Temperature dependence of the heat capacity. Einstein’s and
Debye models of heat capacity. Heat capacity of metals. Thermal ezpansion of solids. Phonons. Heat
conductivity in solids. Lattice defects in solids. Point defects. Dislocations. Diffusion in solids. Structure
of glasses. Short-range and-long range order in solids. Free volume in glasses. Mechanism of particle
movement in liquids. Transport processes in liquids. Surface free energy of liquids. Free energy of phase
boundaries. Phase transitions. Clausius-Clapeiron equation. Pressure of saturated vapors in the system
liquid-vapor. Phase equilibrity diagram. Morphotropic phase transitions.
Demands for obtaining of the credit:
Credit of the training in solving of numerical tasks.
Credit of educational aid in mechanics and molecular physics
Literature
1. J. Kručāns. Molekulārfizika. Zvaigzne, 1975.
2. Н. Матвеев Молекулярная физика Москва 1978
Course of general physics “Electromagnetics”
Author
Course amount
Semester
Control form
Preconditions
Code of the course
Group of the courses
Docent Andris Muižnieks, Dr.-Phys.
4 credits
3.
examination
courses of higher mathematics, courses
of general physics: mechanics,
molecular physics
obligatory – general physics
Annotation
Course “Electromagnetics” considers the fundamental basics of the electromagnetics on the
level of general physics. In the course are included the exercises (solving of problems) and
laboratory. In a week 8 academic hours are devoted to the course: 2 hours lectures; 2 hours
exercises; 4 hours laboratory.
In the course a system of basic physical conceptions of electromagnetics is created in a following
way: 1) describing the electromagnetic phenomena and showing the demonstrations in the
lectures; 2) short describing of history of development of physical conceptions; 3) short review
of examples of usage of electromagnetics in modern technique; 4) solving problems (exercises)
in general physics; 5) solving exercises for engineering examples; 6) experimental work in the
laboratory in general physics
Mathematics used in the course corresponds to the courses of higher mathematics learned in the
first and second year.
The exposition of the course is inductive. The electromagnetic phenomena are introduced
gradually. At the end of the course the Maxwell system of equations and electromagnetic waves
are analysed. Some conceptions of quantum mechanics and microphysics are used to describe
the electromagnetic phenomena in matter.
In the course the applications of electromagnetic phenomena in the modern material technologies
are shortly considered.
Requirements to obtain credit points
1.
2.
3.
4.
Examination note must be not lower than 4.
Before the examination the student must pass the exercises.
Before the examination the student must pass the laboratory in general physics.
Examination requirements:
a) examination is oral
b) the student must prepare and explain 2 questions, the answers are valued
separately
c) examination note is the averaged value of notes of the answers
d) it is allowed to use mathematical handbooks
Literature
1. Elektrība. J. Platacis, R., 1974.
2. Feinman lectures on physics (in Russian), 5. un 6. vol.
3. Fizikas uzdevumu risināšanas metodika. J. Krūmiņš, B. Ertele, A. Zambrāns, R., 1980.
4. Fizikas rokasgrāmata. E. Šilters, R., 1988.
5. Electromagnetics, Fourth Edition, International Edition. John D. Kraus. McGraw-Hill, Inc.
1991.
OPTICS
Author
Prof. Ruvin Ferber, Dr. Habil. Phys.
Volume of the course
Semester
Form of control
Preliminary requirements
4 credits
4
examination
preceding courses in general physics and math
Code
Group
obligatory-General Physics /A/
Summary
The course explains basic fundamentals of optics. Along with traditional divisions of physical dealing
with light interference, diffraction and light-matter interaction, the course contains modern optics subjects
such as spectral expansion, nonlinear optics, lasers and holography. The course includes practical
exercises in solving problems, as well as practical work in physical laboratory.
Contents
Subject of optics. Basic optical phenomena and the nature of light. Plane harmonic waves, polarization,
phase and group velocity. Light as an electromagnetic wave, its speed and energy. Light emission. Light
refraction and reflection at a plane boundary of dielectrics. Amplitudes of refracted and reflected waves.
Fresnel’s formulae, Brewster angle, polarization and phase conditions. Total internal refraction.
Coherence and interference. Principle of linear superposition. Theory of partial coherence. Visibility of
fringes. Multi-layer films. Multiple-beam interference.
Diffraction. General description of diffraction. Fundamental theory. Fraunhofer and Fresnel Diffraction
patterns. Diffraction gratings of one, two and three dimensions. Reconstruction of wave front by
diffraction. Holography.
Propagation of light in crystals. Double refraction. Optical activity, magneto-, electro-optics. Elliptical
and circular light polarization. Molecular optics. Nonlinear effects.
Thermal radiation. Kirchhoff’s law, blackbody radiation.
Stimulated emission and thermal radiation. Methods of producing a population inversion. Amplification
of light. Lasers (optically pumped, semiconductor, dye, etc.).
Literature
Students O. Optika.- Rīga, Zvaigzne, 1971, 412 lpp.
Rēvalds V. Interferences parādības optikā.- Rīga, LU, 1993, 124 lpp.
Auziņs M., Ferbers R. Uzdevumi fotometrijā.- Rīga, LU, 1988, 57 lpp.
Grant R. Fowles. Introduction into modern optics, Dover, NY, 1989.
Бутиков Е.И. Оптика. Москва, Высшая школа, 1986.
Introduction to Quantum Physics
Author
Programme
Extent
prof. Marcis Auzinsh
Bachelor of Physics
4 credits
Test form
Prerequisites
Semester
5
exam
general physics courses; Mechanics,
Matter and Heat, Optics
Course Group
Mandatory course, part A
Course Code
Summary
Course describes basics of the atomic and molecular physics. Brief introduction to the nuclear
physics and particle physics is presented. The main attention is paid to the empirical foundations
of the atomic and sub-atomic physics. The basic terminology and mathematical methods of
description are discussed. Course as an integrated part contains problem solving and laboratory
training.
Contents
Heat radiation and Plank hypothesis. Photoeffect and Einstein formulae. Compton effect.
Rutherford Empirical description of H spectrum. Bohr’s postulates and atomic model. Frank –
Hertz experiment. DeBroglie hypothesis. Devisons – Jermer experiment. Interference
experiments with atoms and molecules. DeBroglie wave physical interpretation. Heizenberg’s
uncertainty relations. Schroedingers equation. Particle in infinite square well. Particle in finite
square well. Harmonic oscillator, Tunnelling. H atom, its wave functions and energy levels.
Spin. Stern – Gerlach and Einstein de-Hazz experiments. Fine structure. Lemb shift. Structure of
alkali atoms. Many electron atoms. Pauli principle. Electron structure of complex atoms. Helium.
X-ray radiation from atoms. Zeeman effect. Pashen – Back effect. Molecules. Ionic bound.
Covalent bound. Motion of nuclear in diatomic molecule. Properties of nuclei. Droplet model of
nucleus. Nucleus as a Fermi gas. Shell model of nucleus. Radioactivity.  – decay.  –
radioactivity. K – capture. Nuclear reactions. Elementary particles
Requirements to be met to obtain credits
Completed problem-solving tasks. Exam.
Textbooks
1. J.Eiduss, U.Zirnītis. Atomfizika R., “Zinātne”, 1978, 328 lpp. (in Latvian)
2. E.V.Špoļskis. Atomfizika 1. sēj., M., “Nauka”, 1984 (1974), 575 lpp. (in Russian)
3. Atkins, Molecular Quantum mechanics, Cambridge University Press, 1996, 340 pp
4. D.V.Sivuhins. Atoma un kodola fizika 5. sēj., 2. daļa, M., “Nauka”, 1989, 415 lpp. (in
Russian)
ASTRONOMY AND ASTROPHYSICS
Author:
Docent Dr.hab.phys. Juris Žagars,
lecturer, Dr.paed. Ilgonis Vilks
Semester:
6
Credit value:
Part
Course code:
4
A
Prerequisites:
General Physics, Higher Mathematics
Assessment:
exam
Annotation
The aim of the course is to give the students contemporary understanding of rules governing in macro
world, help them to acquire mathematical methods used in astronomy and space investigation. Main
attention is paid to fundamental astronomical notions, qualitative explanation of characteristics of space
objects, processes taking place in the Solar system and in the universe and simulation of astronomical
phenomena.
Contents
Part 1. ASTROMETRY
 Coordinate systems. Notion of reference systems and coordinate systems, their types. Coordinate
systems used on the Earth and coordinate systems used on the celestial sphere. Connections between
right-angle coordinates, their transformations. Connections between spherical coordinates, their
transformations. Paralactic formulae and methods of measuring meridional coordinates of space objects.
 Spherical astronomy. Spherical geometry, its basics and main theorems. Spherical triangles, their
general properties. Polar connected triangles. Basic notions of spherical astronomy. Celestial sphere.
Projection of horizontal and equatorial coordinate systems on the celestial sphere. Rotation of the
celestial sphere and apparent motion of space objects on it. Basic notions of spherical trigonometry and
paralactic triangle. Main theorems of spherical trigonometry (theorem of sinuses, theorem of cosines,
theorem of five elements) and methods of deriving formulae from them.
 Planets of the Solar system. Origin of the Solar system, its evolution and structure. Terrestrial group
planets (Mercury, Venus, Earth, Mars) and giant gaseous planets (Jupiter, Saturn, Uranus and Neptune),
their physical properties, structure, orbits and satellites. Satellite systems of giant planets and their
rings. Pluto and Charon.
 Rotation movement of planets. Dynamics of free rotation of planets. Motion of poles of planets.
Proper rotation of the Earth and its connection with time scales UT, ET, AT and UTC. Rotation of
planets as transformation of coordinates. Precession and nutation.
 Form of planets and physical fields around them. Potential of gravity and gravity fields of planets.
Force of gravitation and geoid. Expansions of gravity potentials of planets in spherical functions. Zonal,
sectorial and tesseral harmonics. Form of planets, its connection with gravity field and dependance on
rotation. Reference ellipsoid and types of altitude. Magnetic fields of planets and magnetospheres.
Radiation belts.
 Orbital motion of planets. Mathematical models of orbital motion of planets. Orbital plane and 2nd
Kepler law. Equations of planetary motion and their solutions. 1st Kepler law. Analyses of forms of
orbits and motion of planets along orbits. 3rd Kepler law, its applications. Ticius-Bode law and elements
of planetary orbits.
 Calculation of coordinates of planets. Equation of planetary orbits and its integration. Proof of the
1st Kepler law. Methods of solution of the equations. Connection with 3rd Kepler law and its precision.
Orbital coordinates system, its connection with other astronomical coordinate systems. Sequence for
calculating coordinates of planets.
 Astronomical observations. Determination of distances to space objects (annual parallax and diurnal
parallax). Determination of astronomical unit (Solar system scale). Relative method for determination
of coordinates of space objects (Terner’s method). Method of radio interferometry (VLBI). Satelliet
laser ranging (SLR) and GPS. International celestial reference frame (ICRF) and international Earth
reference frame (IERF). Hipparcos catalogue. Factors influencing astronomical observations. Stellar
catalogues, historical overview and up-to-date forms.
Part II. ASTROPHYSICS
 Methods and equipment of astrophysics. Spectrum of electromagnetic radiation. Transparency of
atmosphere of the Earth. Optical telescopes, their types and mountings. Resolution power. Radiation
detectors. Active and adaptive optics. Radio telescopes. X ray and  ray telescopes. Orbital
observatories.
 The Sun. Main characteristics of the Sun. Inner structure of the Sun. Solar and stellar sources of
energy and energy transfer. Processes in the atmosphere of the Sun. Activity cycles of the Sun.
Connection of solar activity with geophysical processes and biosphere of the Earth.

Stars. Apparent and absolute brightness of stars. Absolute magnitude of stars. Stellar spectra and
spectral classification. Temperature of stars and their chemical composition. Hertzsprung-Russel
diagram. Determination of radii of stars. Stellar motion. Proper motion, radial velocity. Motion of the
Sun towards apex. Visual, spectral and eclipse variable stars. Determination of mass of binary stars.
Pulsating variable stars. Connection between period and luminosity. Eruptive variable stars. Novae.
Stellar evolution. Proto stars, stars of the main sequence, red giant stage. White dwarfs, supernovae,
neutron stars, pulsars, black holes.
 Galaxy. Structure of the Galaxy, spiral branches. Rotation of the Galaxy. Star clusters, diffuse,
planetary and supernovae remnant nebulae. Interstellar medium, cosmic radiation.
 Extra-galactic astronomy. Classification of galaxies. Elliptical, spiral and irregular galaxies.
Determination of distances to galaxies. Red shift. Hubble law. Active galaxies. Quasars. Large-scale
structure of the universe. Non-stationary models of the universe. Relict radiation.
For obtaining the credit
1. The mark in the exam must be not lower than 4.
2. The exam is oral.
Literature.
 I. Vilks, J. Žagars. Astronomijas kosmiskās perspektīvas (manuskripts, 1998).
 Bakuļins P., Kononovičs E., Morozs V. Vispārīgās astronomijas kurss (krievu val.). Maskava, Nauka,
1983.
 Dagajevs M., Djomins V., Klimišins I., Čarugins V. Astronomija (krievu val.). Maskava, Prosveščenije,
1983.
Physics Laboratory
Course’s volume
Term
Checking form
Necessary knowledge
Course’s code
Course’s group
4 credits per term
1, 2, 3, 4
Test
General Physics courses
Obligatory (A)
Annotation
The goal of the Physics Laboratory is:
1) To let students independently get and test important knowledge of the Physics course.
2) To acquaint students with measuring apparatus, measuring devices and different measuring
techniques.
3) To teach students to analyse obtained results and to evaluate the confidence probability, to
generalize or to extrapolate obtained facts for other phenomena, to present the research results
in a graphic form (graphs, vector diagrams etc.).
Correctly organised work in the Physics Laboratory gives necessary skills and forms a basis for
students’ further work in scientific and research laboratories.
Contents
The subject-matter of the laboratory works is submitted to approval of the appropriate Physics
course’s lecturer. The themes of the laboratory works differ for different specialities. Physics
students attend Physics Laboratory during 4 terms. Students of other specialties (Mathematics,
Biology, Optometry, Geology, Medicine) do laboratory works for 1-2 terms.
Independently of speciality students begin their work in Mechanics Laboratory. First of all,
students become acquainted with the direct and indirect measurements, measuring apparatus.
They study how to plan an experiment, how to record and evaluate the obtained results, as well
as how to make their analysis. The error evaluation is made in every laboratory work.
Laboratory works in Mechanics can be divided in the following sections according to their
themes:
1) Testing of the main laws of motion of a perfectly rigid body;
2) Study of collision processes;
3) Testing of vibration laws and review of the wave theory;
4) Testing of the energy conservation law;
5) Friction and its importance in different processes.
Works in the Molecular Physics Laboratory are connected with the study of structure of
substance and heat processes. Similarly to the Mechanics Laboratory, Molecular Physics
laboratory works can be divided in the following parts:
1) Determination of gas state parameters (temperature’s, pressure’s and other parameters’
measuring methods);
2) Gas kinetic theory and transfer processes (heat conduction, viscosity, …);
3) Molecular phenomena in liquids (surface tension, heat capacity, hygrometry);
4) Study of the properties of solids (phase transitions, heat capacity, linear expansion,…).
In the Electromagnetism Laboratory students acquaint with:
1) Methods of measuring electrical quantities and measuring techniques;
2) Testing of the electrostatics laws;
3) Testing of the laws of electrical circuits;
4) Electronic devices and use of the classical electron theory (oscillograph, determination of the
electron specific charge, electron work function, …);
5) Determination of the magnetic field parameters (tangent galvanometer, millifluxmeter,
magnetisation of iron, …);
6) Substance behaviour in magnetic and electric fields (Hall effect, polarisation of
segnetoelectrics);
7) Physical processes in semiconductors (type of electric conductance, impurity and intrinsic
conduction, forbidden band, …);
8) Analysis of the laws of electromagnetic oscillations and alternating current circuits,
determination of capacity and inductance, testing of the Ohm’s law, transformer, resonance
in an alternating current circuit.
The works in the Optics Laboratory are divided in the following sections:
1) Geometrical optics (methods of lens focus determination, optical instruments, …);
2) Photometry (study of light absorption, measuring of the relative aperture, …);
3) Wave nature of light – interference, diffraction, polarisation of light (Young’s double slit,
Freshnel’s biprism, Newton’s rings, diffraction grating, …);
4) Light dispersion and spectroscopy (determination of refraction coefficient using different
methods, use of spectroscopes, …);
5) Quantum nature of light – students get acquainted with optical phenomena, which are
explained by quantum nature of light (photoeffect, thermal radiation).
Demands for getting credits - 12 laboratory works should be made and defended.
Literature (in Latvian)
Physics Laboratory
Electricity Laboratory
Physical measuring data elementary processing
Course’s author
Course’s volume
Term
Checking form
Necessary knowledge
Course’s code
Course’s group
Physics Laboratory-5
1. Atomic Physics
Prof. Mārcis Auziņš
4 credits
5
Test
General Physics courses
Obligatory (A)
Annotation
Laboratory works correspond to the Microphysics course, in which structure of atoms and
molecules, their physical properties, research methods and theoretical models are discussed.
Students get a possibility to study the classical Millikan’s and Frank-Hertz’s experiments, which
have played an important role in development of the atomistic view. The study of hydrogen’s
and sodium’s spectra allow to use knowledge got in lectures and to deepen it in practical work.
Investigation of the simplest molecules’ properties is realised using the J2 molecule’s absorption
spectrum.
Contents
Laboratory course consists of 5 works:
1) Frank-Hertz’s experiment.
2) Millikan’s experiment
3) Study of hydrogen’s spectra
Study of sodium’s spectra
4) Study of the J2 molecule’s spectra
Demands for getting credits
1. The obtained results should coincide within the error bars with the existing control values.
2. Students should be able to give a theoretical description of the work and motivate the
obtained results
Literature (in Latvian)
Atomic Physics Laboratory
Physics Laboratory-5
2. Emission spectral analysis
Author
Docent Valdis Rēvalds
Course’s volume
4 credits
Term
5
Checking form
Test
Necessary knowledge
General Physics courses
Course’s code
Course’s group
Obligatory (A)
Annotation
Emission spectral analysis is one of the most progressive methods for determination of
composition of different materials, which are important in economy. This Laboratory course
offers a possibility to acquaint with the basic principles and methods of spectral analysis by
using a photographic method of emission spectral analysis. At the same time students get
knowledge about spectral apparatus, which is a good addition to the Optics course. Knowledge
got in the Microphysics course allows to understand better the formation of atomic emission
spectra and the processes influencing the emission spectral analysis.
Contents
Course of works consists of 3 mutually interrelated works:
1) Full qualitative analysis of metals.
2) Semiquantitative analysis of metals.
3) Quantitative analysis of metals.
Demands for getting credits
1) The obtained results should coincide within the error bars with the existing control values.
2) Students should be able to give a theoretical description of the work and motivate the
obtained results
Literature (in Latvian)
Laboratory works in Optics and Spectroscopy
Physics Laboratory. Microphysics.
Physics Laboratory-5
3. X-ray structure analysis
Author
Dr. Phys. Verners Freimanis
Course’s volume
4 credits
Term
5
Checking form
Test
Necessary knowledge
General Physics courses
Course’s code
Course’s group
Obligatory (A)
Annotation
Crystalline substances are widely used in economy, for example, building materials, metals
and their alloys, specially synthesised new materials for designing of electronic and optical
devices.
Information about amount of a crystalline phase, phase composition and orientation of
monocrystals is obtained by means of X-ray diffraction. Using continuous radiation (for
monocrystals) and characteristic radiation (for polycrystals) students in this Laboratory course
acquaint with the basic X-ray structure analysis methods for obtaining a diffraction pattern.
While performing the laboratory works, students get an idea of crystal’s symmetry elements and
study how to measure angles between crystallographic directions, how to orient a crystal in a
chosen direction (Laue’s method). By means of analysing the geometry of the obtained
diffraction pattern, a type of a crystal lattice and a size of a lattice cell are determined, as well as
measurement errors are evaluated for polycrystalline substances.
Contents
1) Debye’ method
2) Laue’s method
Demands for getting credits
1. The obtained results should coincide within the error bars with the existing control values.
2. Students should be able to give a theoretical description of the work and motivate the
obtained results
Literature (in Latvian)
Principles of crystal structure analysis
Physics Laboratory. Microphysics.
ELECTRONICS
Lecturer
Program
Course amount
Term
Assesment
Prerequisites
Code of the Course
State of the Course
Juris Ozols, Docent, Dr. phys.
Bachelor of Physics
4 credits
6th
Test
Mathematics; Physics
Compulsory-Physics (A)
Annotation
The course includes the fundamentals of digital and analog electronics, the physical
principles of electronic devices, the analysis and synthesis of electronic circuits, the electronic
signals in physical data processing. Practical and computer simulation works summarize the
course.
Content
Representation of signals in the time and frequency domains, analog, discrete and digital
signals, the electronic signals in physical data processing.
Digital electronics. Logical gates, combinational circuits, asynchronous and synchronous
sequential logic circuits (flip-flops, registers, counters) and memory devices, the transmitting of
digital signals. Propagation delay time. Troubleshooting in digital systems.
Analog electronics. Electronic circuits, frequency-domain and time-domain analysis,
linear and nonlinear elements. Voltage and current sources. Generation, amplifying and
processing of signals. Principle of negative feedback. Operational amplifier. Diode and
transistor, principles of operation. Amplifiers. Digital integrated circuits.
Computer simulation of electronic devices.
Data processing systems for experimental physics.
Interfacing between digital and analog signals, digital-to-analog and analog-to-digital converters.
Noises in electronic devices, registration of signals in the presence of noise.
Laboratory
Logic gates, their parameters. Registration of digital signals. Synthesis of combinational
logic circuits. Sequential circuits. Memory devices.
Analog elctronic devices and their parameters (electronic components, analysis of
circuits, amplifiers, oscillators). Electronic test equipment.
Computer simulation of electronic devices.
Requirements to get credit points
1 Laboratory and practical works.
2 Examination (theory).
Literature
1. F. H. Mitchell Jr., F. H. Mitchell Sr. Introduction to Electronics Design. Prentice Hall, 1988.
2. Tocci, Ronald J. Digital Systems. Principles and Applications. Prentice Hall, 1988.
3. U. Tietze, Ch. Schenk. Electronic circuits. Design and Applications. Springer Verlag, 1991.
4. P.Horovitz, W.Hill. The Art Of Electronics. Cambridge University Press, 1989.
Solid-state physics laboratory
Author
Program
Size
Testing method
Preliminary knowledge
I. Tāle
Bachelor in physics
4 credits
Semester
7
credit
Course of the general physics: Mechanics, Structure of matter and
thermal physics. Crystal physics. Physics of non-crystalline solids.
Basics of the material physics, Experimental data processing
program “Origin”
Course code
Course group
Optional B
Annotation
The course offers advanced experimental studies of basic problems of solid state physics , which
involves investigation of physical quantities and properties of solids using the main principal
methods and techniques for obtaining the electronic and ionic structure in materials with
different degree of order-disorder using techniques of optical time-resolved spectroscopy,
magnetic-resonance, dielectric loss spectroscopy. It is proposed to provide the studies providing
the concrete tasks together with tasks in framework of educational aid in the solid state physics.
Content:
Growth of crystals. Mechanical properties of crystals (plastic deformation, microhardness).
Linear defects in crystals (dislocations). Point defects in crystals (optical absorption and
dichroism of defects). Optical properties of defects in crystals (luminescence, polarization
of luminescence). Composition and structure of defects (electron paramagnetic resonanse).
Interaction of solids with ionizing radiation (accumulation and annealing of defects).
Dissipation of radiation energy in solids (luminescence decay kinetics). Charge carriers in
solids: (conductivity, Hall effect). Dielectric properties of solids (dielectric losses;
ferroelectricity, phase transitions; piezo-effect)
Demands for obtaining of the credit:
Performing and getting credits of six tasks
Literature
1. Tasks manuals
2. Set of original papers for concrete problem.
3. Literature for individual studies.
Computers and programming I
Author
Program
Course size
Control form
Necessary knowledge’s
Docent Andris Jakovičs
B. Sc. in Physics
4 credits
Semester
test with a mark
none
1
Course code
Course group
main (A)
Summary
The course presents the general concepts of computer hardware and its application. The
aim of the course is to prepare the students for practical demands of computer applications like
working with text editors and processing of numerical and graphical data. The introduction in
information technologies is presented in the lectures of the course.
Content of the course
History of computing and software. Tendencies today. Classifications of computers,
their characterisation and principal components.
Operational systems. Description of system Windows, principal elements and
peculiarities.
Basic knowledge about Internet. Internet software (Netscape, e-mail, ftp, telnet).
Classification of software. Editors for text, equations and graphics. Software for table
calculations and administration of databases. Software for making programs. Software for
symbolic mathematics and mathematical modelling. Text editor Word and calculation using
tables in Excel.
Numeration systems. Arithmetic operations in them. Conversion of numbers and coding
of information. Binary arithmetic, logical operations and elements of binary logic.
Structure of computer hardware and principles of operation. Main blocks of
microprocessor, scheme of operation and technology.
Data exchange between computers. Interface and protocols of data exchange. Local and
global nets.
Algorithms. Block-schemes and flow diagrams. Description of programming languages.
Credit requirements
Elaboration and defence of laboratory works about text editor, electronic tables,
graphical software, etc. A theory test and self-supporting work in auditory.
Literature
1. I. Pakalne u.c. Lasāmā grāmata informātikā. – Rīga, Mācību grāmata, 1999,
400 pp.
2. T.L. Floyd. Digital fundamentals. – New York, Merrill, 1990, 772 pp. (in english)
3. E. Krol. The whole Internet. – Boston, O’Reilly, 1995, 608 pp. (in english)
4. PC-Technik fuer Systembetreuer. – Hannover, RRZN, 1998, 184 S. (in german)
5. O. Koļesņičenko, I. Šišigins. PC aparatūras līdzekļi. – Pēterburga, BHV, 1999, 780. pp. (in
russian)
6. Materials from Internet.
Computers and programming II
Author
Program
Course size
Control form
Necessary knowledge’s
docent Andris Jakovičs
B. Sc. in Physics
4 credits
Semester
3
test with mark
Computers and programming I, Mathematical analysis, Geometry
and algebra
Course code
Course group
Summary
main (A)
The course presents the main numerical methods, and their application for solving various kinds
of problems of mathematical physics, and for processing of experimental data. The basic skills in a
programming language (Pascal) and software (Mathematica) are acquired performing the application of
numerical methods.
Contents of the course
Main concepts of computation. Typical problems in computations. Their classification. Sources of errors,
their type and occurrence in computations.
Interpolation and approximation. Interpolation polinoms of Lagrange, Newton and Hermite. Choosing of
nodes by Tchebyshev’s polynomials. Interpolation by splines, cubic splines. Other (not polynomial)
formulations of interpolation problem. Extrapolation. Mean squared and uniform approximations of
functions.
Interpolation type quadrature formulas - rectangle, trapezoidal and Simpson ones. Algebraic
quadrature formulas with higher accuracy – Gauss and Hermite. Richardson’s method.
General concepts of linear algebraic system of equations. Their numerical solution of them. Gauss
method and its modifications. Method of square root. Jordan’s scheme. Calculation of determinant,
inverse matrix and eigenvalues. Methods of iteration – Seidel, relaxation, a.o., methods. Application of
Thcebyshev’s polynomials for increasing of the rate of convergence. Variation type methods – minimal
uncoupling, joint gradient, etc.
Calculation of non-linear system of equations. Newton’s, chord, etc., methods. Relaxation, Picare’s,
Newton’s methods for solving non-linear system of equations.
Calculation of Cauchy’s problem for differential equations – Runge-Kutta’s methods, Adams’s method.
Integrated environment of Turbo Pascal. Its structure. Elaboration of programs in this environment.
General structure of Pascal programs. Their elaboration principles. Simple and structured data types.
Operations and operators. Recursion. Procedures and functions. Models of program and libraries.
Structured programming. Strings. Manipulating files. Pointers and dynamical storing in memory. Objectoriented programming.
Credit requirements
Elaboration and defence of laboratory works with elements of numerical methods and programming. Test
of self-supporting works.
Literature
1. D. Kahaner, C. Moler, S. Nash. Numerical methods and software. – Prentice – Hall, 1989, 576 pp. (in
english and russian)
2. A. Samarskis, A. Guļins. Skaitliskās metodes. - Maskava, Nauka, 1989, 430 pp. (in russian)
3. C. Uberhuber. Computernumerik. – Berlin, Springer, 1995, Bd 1, 512 S.; Bd 2, 516 S. (in german)
4. B. P. Flannery. Numerical recipes in Fortran 77. – Cambridge, Cambridge Univ. Press, 1996, 934 pp.
(in english)
5. Pascal manual. – Borland, 1992, 380 pp. (in english)
Theoretical Mechanics
(Statics, kinematics, dynamics)
Author
Programme
Form of test
Duration of course
Course code
Course group
Prof. Vitauts Tamužs, Dr. Habil. Eng.
Bachelor of Physics
Semester
Examen
4 credits
5
A
Introduction
Historical remarks. Newton's laws. Space, time, mass, force in mechanics.
Statics
Systems of forces. Reduction of system of forces. Resultant and moment of system of forces. Conditions
of equilibrium. Parallel, complanar, and spatial force systems. Statically determinate and indeterminate
systems. Central axis of forces. Centre of gravity.
Kinematics
Velocity, acceleration, trajectory of mass point. Curvilinear coordinates, metric tensor, velocity and
acceleration in curvilinear coordinate system. Velocity and acceleration when known trajectory, natural
coordinates. Translatory, rotational and complanar motion of rigid body. Motion of rigid body around
fixed point. General motion of rigid body. Velocity and acceleration in compound motion. Coriolis
acceleration.
Dynamics
Equations of motion of point in Cartesian, curvilinear and natural coordinates. Classification of forces.
Equations of constrained motion. Momentum of point and system. Impulse of force. Principle of motion
of mass centre. Low of moment of momentum. Moment of momentum about centre of mass. Motion in
field of central force. Tensor of moment of inertia. Principial moments of inertia. Principial axis of
inertia. Motion of rigid body around fixed point. Euler's equations of motion. Theory of gyroscope.
Kinetic energy of point, system of points, rigid body. Theorem of kinetic energy. Potential energy, energy
conservation law. Principle of virtual displacements. General equation of dynamics. Generalized
coordinates, velocity, forces. Lagrange equation. Lagrangian function. Lagrangian action, Hamiltonian
principle. Hamiltonian function. Hamiltonian equations.
Some additional problems
The fundamentals of theory of vibration. The fundamentals of theory of impact.
Main text books
D.Kepe, J.Vība, Teorētiskā mehānika.
Д.Мещерский. Сборник задач по теоретической механике.
Л.Ландау, М.Лифшиц. Механика.
М.Бать, Г.Джанелидзе, А.Кельзон. Теоретическая механика в примерах и задачах.
ELECTRODYNAMICS and THEORY OF RELATIVITY
Author:
Program:
program
Credits:
Part of the program:
Form of assessment:
Pre-requisites:
Prof., Dr.hab.phys. E d v ī n s
Šilters
physics bachelor study
4
A (obligatory)
exam
General physics course –
Electricity and Magnetism,
Higher mathematics courses
Course annotation.
Summary of three-dimensional scalar and vector field analysis. Principles of four-dimensional
event space analysis. Relativistic kinematics and dynamics. Three-dimensional electromagnetic
field theory for vacuum. Introduction into relativistic dynamics.
Content.
1.1. Scalar and vector fields in three-dimensional space. Algebra and geometry, differentional
and integral notions.
1.2. Space of events and relativistic kinematics. The postulates of relativity. The relativity of
time and length in inertial reference frames. Special Lorenz transformations, kinematic
effects of transformations. Kinematics four-dimensional quantities and their
transformations, algebraical and geometrical interpretations.
1.3. Relativistic dynamics. Lagrange function for free particle, momentum, mass and energy.
Hamilton function for free particle. Collisions of particles. The mass defect and binding
energy. Energy-momentum vector, its transformations. Four-dimensional force, covariant
form of dynamics laws.
1.4. Classical theory of electromagnetic field. Fundamental interactions. Maxwell’s
equations- differential and integral forms. Continuity of electric current, equations of
conservation. Potentials of electromagnetic field.
1.5. Static electric and magnetic fields. Intensity and potential of electric field. Electric
multipoles and corresponding electric fields. System of electric charges in outer electric
field. Magnetic multipoles, magnetic dipoles and magnetic field of magnetic dipole.
Electric current in magnetic field.
1.6. Electromagnetic waves and electromagnetic radiation. Equations of electromagnetic
waves, plane and spherical waves. Polarization of waves, transmission of energy by
electromagnetic waves. Retarded potentials. Radiation from electric dipole. Scattering of
electromagnetic waves.
1.7. Relativistic electrodynamics. Four-dimensional potential and current. Tensor of
electromagnetic field. Energy-momentum tensor. Doppler effect. Lagrange and Hamilton
functions for electron in electromagnetic field. Equations of charge motion.
Requirements for receiving of credits.
Success in individual problem solving - six sets of practical exercises. Exam.
Literature.
1. Elektrodinamika. E.Šiltera redakcijā, Rīga, Zvaigzne, 1986 (237 lpp.).
2. L.Landau, E.Lifshiz. The classical theory of fields. All editions.
Author
Program
Course size
Semester
Control form
Necessary knowledge
Course code
Course group
QUANTUM MECHANICS
Docent Boriss Zapols, Dr.habil.phys.
BSc in Physics
4 credit points
6
examination
Courses in General Physics, Theoretical Mechanics,
Electrodynamics and Relativity, Higher Mathematics, and
Mathematical Physics
Obligatory – Theoretical Physics (A)
Summary
Basic concepts and principles of Quantum Mechanics, as well as its mathematical
formalism, approximate methods being used, and elements of quantum mechanical theory of
structure of matter are presented in the Course. The Course is aimed both at mastering the
calculation apparatus for microworld problems and at development of quantum mechanical
intuition. Practical works on solution of problems make part of the course.
Content
The subject of Quantum Mechanics. Short historical review. Uncertainty principle. Wave
functions. Change of representation. Superposition principle. Operators. Eigenvalues and
eigenfunctions. Operators of physical quantities. Correspondence principle. Wave equation.
Energy. Coordinate, moment, parity, angular moment, spin. Schroedinger equation. Continuity
equation. Free motion. Potential well. Potential barrier. Linear harmonic oscillator. Plain rotator.
Central field. Coulomb field. Elements of elastic scattering theory. Quasiclassical approximation.
Stationary perturbation theory (PT) for nondegenerate and degenerate levels. Linear and
quadratic Stark effect. Time-dependent perturbation theory. Quantum transition probability
under perturbation. The gold rule by Fermi. Uncertainty relation for energy and time. Virtual
states. Elementary dispersion quantum theory. Quasiclassical theory of substance interaction
with radiation. Variational methods. Identity principle. Slater determinant. Electronic correlation.
Electron states of helium atom. Structure and spectra of atoms. Periodical system of elements.
Adiabatic approximation; molecular terms. Classification of diatomic molecular states.
Hydrogen molecule. Chemical bond; valence. Van der Waals forces. Electron structure of solids.
Bloch theorem. Kronig-Penni model. Zone structure of energy spectra. Metals, dielectrics,
semiconductors.
Examination requirements
Test on the problems.
Literature
1. Miķelsons J., Rolovs B., Šilters E. Quantum Mechanics. Rīga, Zvaigzne, 1970 (in Latvian).
2. Landau Ļ ., Lifšics J. Quantum Mechanics. Moscow, Nauka FM, 1972 (in Russian).
3. Zapols B. Principles of Quantum Mechanics. Rīga, LU, 1986 (in Latvian).
4. Zapols B. Schroedinger equation. Change of representation. Rīga, LU, 1988 (in Latvian).
TERMODYNAMICS AND STATISTICAL PHYSICS
Author
Program
Course size
Semester
Control form
Credit requirements
docent Ilmārs Madžulis, Dr. phys.
B. Sc. in physics
4 credits
8
examination
Courses in Theoretical Mechanics, Electrodynamics, and Quantum
Mechanics
Course code
Course group
General (Theoretical physics) /A/
Course summary
The course presents the physical and mathematical basis of thermodynamics and statistical
physics, general laws of classical thermodynamics and its applications. The course contains basics
of classical and quantum statistical physics, and physical kinetics.
Content
Thermodynamic systems and general postulates. First law of thermodynamics, types of processes
and their heat capacities. Second law of thermodynamics. Entropy. Third law of thermodynamics,
inaccessibility of absolute zero. Thermodynamic functions.
General equilibrium conditions for heterogeneous systems. Gibbs phase law. Relations for first
and second type of phase transitions. Clausius-Clapeiron equation. Ehrenfest equations. Landau theory for
phase transitions.
Phase space. Gibbs ansamble, distribution functions. Inclusion of the symmetry of particles and
Heisenberg’s uncertainty principle. Liuvile’s theorem. Canonical and grand canonical distributions.
Calculation of thermodynamic functions in statistical physics. Microscopic interpretation of entropy,
Boltzmann’s relation.
Ideal system. Maxvel distribution. Boltzmann’s distribution. Principle of equipartition.
Theory of fluctuations. Fluctuations of essential thermodynamic functions.
Real systems. Real gases, interaction potential. Meyer expansion. Concept of virial expansion.
Van-der-Vaals equation. Plasma, Debye-Hückel theory. Ferromagnetic, Ising model. Solution of onedimensional Ising model. Correlation function, Debye’s screening length. Two-dimensional Ising model
and the main results of its solution. Critical indexes, the role of dimension of the model. Mean field
approximation.
Quantum statistics. The role of symmetry of the particle. Second quantisation. Fermi distribution.
Bose distribution. Ideal Fermi and Bose systems. Temperature of degeneration. Electron gas. Magnetism
of electron gas: paramagnetic and diamagnetic components. Photon gas. Bose-Einstein condensation.
Debye’s model for heat capacity of solid matter.
Basics of kinetic equations. Principle of partial equilibrium. Foker-Planck equation. Braun’s
motion. Boltzmann’s kinetic equation. Boltzmann’s H-theorem.
Credit requirements
1. Test with practical exercises must be fulfilled before examination.
2. Written examination.
1.
2.
3.
4.
Literature
B. Rolovs. Termodinamika un statistiskā fizika. Rīga, 1968.
L. Landau, E. Lifšics. Statistiskā fizika. 1 daļa, 1976. (krievu val.)
R. Feinmans. Statistiskā mehānika. 1980. (krievu val.).
J. Rumers , M. Rivkins. Termodinamika, statistiskā fizika un kinētika. 1977 (krievu val.).
5. I. Kubo. Statistiskā mehānika. Mir, 1967.
MATHEMATICAL ANALYSIS I
Syllabus
Author
Credits
Course code
Required for grade
Course group
Bachelor physics
lecturer Dzintra Damberga Mgr math.
4 credits
Mate–1050
exam
A
Annotation
Elements of the multiplicity theory. Functions of one variable: limits derivative, differential calculus
and their application.
Subjects
1. Elements of mathematical logic. Elements of multiplicity theory.
2. Concept of a function. Elementary functions.
3. Limit of a function of one variable.
4. Continuity of a function.
5. Derivative at a point. Derivatives of elementary functions and of composition.
6. Differential of a function. Higher order derivatives and differentials. Taylor formula.
7. Application of differential calculus for the search of functions.
Requirements for received of credits
1. Students are required to fulfill 4 independent home works to write 2 control works.
2. The exam takes place in oral form. Students must show understanding of deride at lectures the course
and demonstrate the ability of practical derivative of composition.
Recommended literature
1. K.Steiner. Higher Mathematics, III. Riga, Zvaigzne ABC, 1998. (in latvian).
2. W.Iljin, E.Poznak. Elements of Mathematical analysis. Moscow, Nauka, 1980. (in russian)
3. G.Berman. Workbook mathematical analysis. Moscow, Nauka,1975. (in russian)
4. E.Kronberg, P.Rivza, Dz.Boze. Higher Mathematics, I. Riga, Zvaigzne, 1988. (in latvian)
5. T.Cirulis, Dz.Damberga. Elements of theory complex variable. Riga, LU, 1991. (in latvian).
MATHEMATICAL ANALYSIS II
Syllabus
Author
Credits
Course code
Required for grade
Prerequisites
Course group
Bachelor physics
lecturer Dzintra Damberga Mgr math.
4 credits
Mate–1051
exam
Mate–1050
A
Annotation
The objects of the course are: indefinite and definite integral, application of definite integral.
Functions of several variables. Differential calculus for functions of many variables. Elements of curven
differencialgeometry. Line integral of the first type and second type.
Subjects:
1. Antiderivative an indefinite integral. Basic properties of indefinite integrals. Methods of integration:
substitution, integration by parts, integration of rational functions, of trigonometric and hyperbolic
functions.
2. Definite integral, their examples and application in geometry and physic.
3. Improper integrals first and second type and their application.
4. Functions of several variables: limit of a function and continuity. Partial derivatives. Directional
derivative, gradient.
5. Differential calculus of a function of several variables. Higher order derivatives and differentials of a
function of several variables.
6. Implicit functions. Existence and properties of an implicit function. The concept of dependence of a
system of function.
7. The concept of extremum of a function of several variables.
8. Elements of curven differentialgeometry: concept of a smooth curve. Concept of a vector–function.,
limits, derivative and differential, their applications.
9. Line integrals of the first type, line integrals of the second type and their applications.
Requirements for received of credits:
1. Students are required to fulfill 4 independents home works and to write 2 control works.
2. The exam takes place in oral form. Students must show understanding of theoretical material
considered at lectures an demonstrate the ability of solving practical problems corresponding to the
course.
Recommended literature.
1. K.Steiner. Higher Mathematics, III. Riga, Zvaigzne ABC, 1998. (in latvia)
2. K.Steiner. Higher Mathematics, IV, Riga, Zvaigzne ABC, 1999. (in latvian)
3. W.Iljin. E.Poznak. Elements of Mathematical analysis. Moscow, Nauka, 1980. (in russian)
4. G.Berman. Workbook Mathematical analysis. Moscow, Nauka, 1975. (in russian)
5. E.Kronberg, P.Rivza, Dz.Boze. Higher Mathematics, II. Riga, Zvaigzne.(in latvian)
6. T.Cirulis, V.Neimanis. Differentialgeometry. Riga, Zvaigzne, 1990. (in latvian)
MATHEMATICAL ANALYSIS III
Syllabus
Author
Credits
Course code
Required for grade
Prerequisites
Course group
Bachelor physics
lecturer Dzintra Damberga Mgr math.
4 credits
Mate–1052
exam
Mate–1050, Mate–1051
A
Annotation
The objects of the course are: Multiple integrals, Surface integrals. Fundamentals of vector calculus.
Real number series. Functional series. Power series. Furrier series.
Subjects
1. Double integral. Green formula and its applications.
2. Triple integrals. Geometric and physical applications.
3. Surface integrals of the first type. Surface integrals of the second type.
4. Stokes theorem and its applications. Ostrogradsky theorem and its applications.
5. Vector field. Vector lines and vector surfaces. Divergence. Circulation. Rotor.
6. Solenoid and potential fields. Nabla–operator and its applications.
7. Real number series, its convergence. Convergence of a series with positive terms.
8. Alternating series and Leibnic convergence test.
9. Functional series: pointwise convergence, versus uniform convergence. Theorems of Uniform
convergence functional series.
10. Power series. Power series of some elementary functions.
11. Furrier series.
12. Complex number series, its convergence. Complex form of a Furrier series. Furrier integral.
Requirements for received of credits
1. Students are required to fulfill 3 independent home works, an to write 2 control works.
2. The exam takes place in oral form. Students must show understanding of theoretical material
considered at lectures and demonstrate of solving practical problems corresponding to the course.
Recommended literature
1. K.Steiner. Higher Mathematics, V. Riga, Zvaigzne ABC, 2000. (in latvian)
2. B.Budak, S.Fomin. Multiple integrals and series. Moscow, Nauka, 1969. (in russian)
3. G.Berman. Workbook Mathematical analysis. Moscow, Nauka, 1975. (in russian)
4. E.Kronbergs, P.Rivza, Dz.Boze. Higher Mathematics, I, II. Riga, Zvaigzne. 1988. (in latvian)
5. K.Steiner. Series. Riga, LVU, 1999. (in latvian)
Algebra and Geometry 1
Author
Program
Course extent
Semester
Test form
Preconditions
Course code
Course group
Dr.math..,Ojars Judrups
Bachelor of Physics
3 credits
1
examination
none
A (mandatory)
Summary
The course contains: matrix, determinate, invertible matrix, Kramer’s theorem and Gauss method for
linear equations systems solving, Vector algebra, the geometry of lines and planes.
1.
2.
3.
4.
5.
6.
7.
8.
Contents
Matrix, matrix operations, special kind of matrix.
Definition of determinants, basic properties of determinants.
Linear equations systems and solving methods: Kramer’s formula and Gauss method.
Inverse of matrix, basic properties.
Vector algebra, vectors linear operations.
Vectors linear independent, base, dimension and system of coordinate.
Scalar, vectorial and mixed product of vectors
The equations of lines and planes in 2D and 3D spaces.
Requirements
There must be written 9 test-works during the semester and passed oral examination.
Textbooks
1. M.Belovs, O.Judrups. Matricas, determinanti un lineāras vienādojumu sistēmas. R., 1987.
2. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika, 1.daļa., 1988.
3. M. Belovs, O.Judrups. Matricas, determinanti un lineāras vienādojumu sistēmas. Uzdevumu krājums.
R., 1983.
D. Kļeteņiks. Uzdevumu krājums analītiskajā ģeometrijā., Maskava, 1969.(krievu valodā
Algebra and Geometry 2
Author
Program
Course extent
Semester
Test form
Preconditions
Course code
Course group
Dr.math..,Ojars Judrups
Bachelor of Physics
3 credits
2
examination
Mate-1012 ( Algebra and Geometry 1 )
Mate-1013
A (mandatory)
Summary
The course contains: vector spaces and subspaces, bases and dimension of space, general theory for linear
equations systems, linear operator, quadratic forms, quadrics and conics, groups.
1.
2.
3.
4.
5.
6.
7.
8.
9.
Contents
Properties of vector spaces, subspaces, linearly dependent vectors, basis for spaces and dimension
vector spaces, isomorphic vector spaces.
Euclidean space, norm and distance for vector, Cauchy-Schwarz inequality, Gram-Schmidt process.
Rank of matrix, general solution of systems of linear equations. Least squares.
Quadrics: ellipse, parabola and hyperbola. Directrix, pole, polar.
Coordinate transformations on plane, reduction of equations of 2. Order. Conics: ellipsoid,
paraboloid and hyperboloid. Rotation, conic, cylindric.
Coordinate transformations in vector spaces.
Linear operators, matrix of linear operators, eigenvalues and eigenvectors.
Quadric Forms, classification of quadric forms, diagonalizing quadric forms.
Groups and representation of groups.
Requirement.
There must be written 9 test-works during the semester and passed oral examination.
4.
5.
6.
7.
8.
9.
10.
Textbooks
M.Belovs, O.Judrups. Lineārā telpa. R., 1980.
M.Belovs, O.Judrups. Telpas ar skalāro reizinājumu. R., 1990.
M.Belovs, O.Judrups. Lineāri operatori. R., 1991.
M.Belovs, O.Judrups. Kvadrātiskās formas. R., 1992.
Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika, 1.daļa., 1988.
M. Belovs, O.Judrups. Lineārā telpa un lineāri operatori. Uzdevumu krājums. R., 1983.
D. Kļeteņiks. Uzdevumu krājums analītiskajā ģeometrijā., Maskava, 1969.(krievu valodā)
DIFFERENCIAL EQUATIONS
(Diferenciālvienādojumi)
Programm
physics bachelor
Author
docent O.Lietuvietis, Dr.math.
Credits
5 credits
Course code
Required for grade
examination
Prerequisites
base course of higher mathematics
Annotation. The course is devoted to the basic concepts, results, methods of solving and applications
of ordinary differential equations (ODEs).
Subjects:
1. Definition and classification of ODEs. Mathematical modeling of some exciting ” real life ”
problems with ODEs.
2. First – order ODEs : Direction fields, isoclines and solution curves. Initial value problems and
conditions of their solvability. Separable, homogeneous, exat and linear equations. Examples of
applications. Elementary numerical methods.
3. Higher – order ODEs : Initial and boundary value problems. Methods of integration and reduction of
order. General theory of linear ODEs. Second – order linear ODEs with constant coefficients and
solving and interpreting models of forced and unforced oscillations in physical systems.
4. Systems of ODEs : Reduction to first order systems. Vector notation. Geometrical interpretation and
conditions of solvability of initial value problems. Concepts of dynamical and autonomous systems.
Phase planes and trajectories. Methods of integration. Basic theory of linear systems of ODEs: Vector
– matrix notation. Structure of general solutions of nonhomogenous linear systems. Variation of
parametrs. Superposition principles. Solving homogeneous linear systems with constant
coefficients.
5. Theory of stability : Stability and asymptotic stability of solutions in the sence of Liapunov.
Unstability. Stability of linear systems with constant coefficients. Phase plane portraits for systems
of two dimensions. Equlibrium states of nonlinear autonomous systems. Linearization theory.
Liapunov’s function method.
Requirements for receiving of credits: 48 hours lectures, 32 hours practical work. The examination
takes place in the oral form. Students must to show an understanding of the basic notions and its
significanse for applications of each part of the course.
Recommended literature:
1. E.Kronbergs, P.Rivža, Dz.Bože. Higher mathematics. Vol. II, Riga , 1988 (in Latvian).
2. K.Šteiners. Differential equations. Riga, 1992 (in Latvian).
3. William E.Boyce, Richard C.Diprima. Elementary differential equations and boundary value
problems. New York, 1986.
4. L.E.Elsgolc. Differential equations and calculus of variations. Moscow, 1969 (in Russian).
5. E.Kamke. Handbook on ordinary differential equations. Moscow, 1976 (in Russian).
Probability theory and mathematical statistics
(Varbūtību teorija un matemātiskā statistika)
Author
Course code
Lect. J.Smotrovs, Mg.Math.
Credits
3 credits
Required for grade
examination
Prerequisites
Annotation. The objectives of the course are: classical probability theory, random variables, distributions
and its parameters, law of large numbers, limiting theorems, regresion, information and entropy, the
elements of mathematical statistic, the treatment of the statistical data.
Subjects:
1. The elements of combinatorics. Set of events. Set of probability. Conditional probability. Formula of
complete probability and Bayesian formula. Bernoulli scheme. Poisson theorem. Moivre – Laplace
theorems.
2. Random variables and distribution function. Density function and characteristic function.
Multidimensional distribution of random variables. Parameters of distribution: mean value, variance,
moments, quantile, e.t.c.. Correlation. Regression.
3. Information and entropy.
4. Lows of large numbers. Central limiting theoremas.
5. The elements of mathematical statistic: treatment of statistical data, sample, estimates of parameters,
interval of confidence, statistical hypothesis, significant test.
Requirements for receiving of credits: 32 hours lectures and 32 hours practical work. Students are
required to fulfill 2 laboratory works. The examination takes place in oral form. Ticket of the examination
contain two questions of the theory and two problems.
Recommended literature:
1. V.Labejevs Varbūtību teorija un matemātiskā statistika fiziķiem.. Rīga:LVU, 1980.
2. B.V.Gnedenko. The probability theory (Russian). Moscow, 1961, - 406 p.
3. W.Feller. An introduction to probability theory and its applications. Vol.1,2, new-York; 1966. 500.,
752 pp.
4. V.E.Gmurman. Handbook for solving the problems of probability theory and mathematical statistics.
(Russian). Moscow, 1975, - 334 p.
Theory of complex variables
(Kompleksā mainīgā funckiju teorija)
Authors
Lect. J.Smotrovs, Mg.Math.
Course code
Prof. T.Cīrulis Dr. hab. math.,
Credits
4 credits
Required for grade
examination
Prerequisites
Mate-3143, Mate-2135
Annotation. The objectives of the course are: methods of complex calculus, complex variables and
conformal mapping, integrals, Taylor and Laurent series, singular points and residues, analytic
continuation.
Subjects:
6. Complex number and complex calculus with algebraic and transcendent operations. Complex plane.
7. Curves and domains of the complex plane.
8. Complex variable. Limit, continuity and derivative. Geometric interpretation. Multifunction and
Riemann surface.
9. Conformal mapping. Elementary variables.
10. Integral of the complex plane. Cauchy theorem. Newton – Leibnic and Cauchy integral formulas.
11. Series of complex number and variables. Weierstrass theorem. Taylor and Laurent series.
12. Singular points and residues. Cauchy residual theorem. Applications of residues.
13. Analytic continuation. Principle of permanence.
Requirements for receiving of credits: 32 hours lectures and two independent home works. The
examination takes place in oral form. Ticket of the examination contain two questions of the theory and
one problem.
Recommended literature:
1. T.Cīrulis, Dz.Damberga. Kompleksā mainīgā funkciju teorijas elementi, - Rīga, LU, 1991.- 135 lpp.
2. T.Cīrulis, Dz.Damberga. Kompleksā mainīgā funkciju teorijas metodes.- Rīga, LU, 1992.- 130 lpp.
3. E. Riekstiņš. Matemātiskās fizikas metodes. - Rīga, Zvaigzne, 1969. 629 lpp.
4. A.Lūsis. Kompleksā mainīgā funkciju teorija. - Rīga, LVU, 1.-4.daļa,1966 - 1977.
5. T.Cīrulis, O.Dzenītis. Kompleksā mainīgā funkciju teorija piemēros. - Rīga, Zvaigzne, 1983. - 329
lpp.
6. L.I.Volkovskis u.c. Kompleksā mainīgā funkciju teorijas uzdevumu krājums. Maskava, Zinātne,
1075. – 320 lpp.
B
Seminar in physics and engineering-physics
Author
Program
Course size
Docent Andris Jakovičs
B. Sc. in physics
2 credits
Necessary knowledge’s
Semester
Control form
none
1
test
Course code
Course group
Summary
B
The seminar introduces to principal research institutions in physics and coherent
sciences. The principal research subjects of physics and engineering in Latvia and
their representatives are introduced.
Content
1. Seminars in various research institutions about their subjects of investigation.
Solid state physics in Latvia and in the world – research made by the Institute of Solid State
Physics, UL.
Magneto-hydrodynamics and heat physics – investigations made by the Institute of Physics, UL.
Investigations made by the Institute of Atomic Physics and Spectroscopy, UL.
Mechanics of composite materials – investigations made by the Institute of Polymer Mechanics, UL.
Astronomy and space sciences – investigations made by the Institute of Astronomy, UL.
Introducing with the Latvian Council of Hydro-meteorology.
Hydrology and applied heat physics – investigations made by the Laboratory for Mathematical
Modelling of Environmental and Technological Processes, UL.
Computer simulations of transfer processes – investigations made by the Educational Centre of Computer
Technology, UL.
2. Seminars about chosen topics.
Education of physics in Latvia and in the world. Principles in structure formation. Materials for
solid state ionic. Physics for ecological technology in future. Materials for optometry. Modelling
of processes in gas reservoirs in underground. Application of thermography. Physical
oceanography. Optoelectronics, fibre and biomedical optics. Patents. Application of holographic
recording in amorphous semiconductor. Materials for photonics and physical problems with
them. Mechanics of continuous media and engineering physics. 100 years of quantum
mechanics. Physics, management and society. Magnetic liquids – new intelligent materials.
Mathematical modelling of technological processes nowadays.
Credit requirements
Elaboration and defence of individual work about the chosen topic.
Literature
Depends on the individual topic
Materials from Internet.
INTRODUCTION IN HYDRODYNAMICS and THERMOPHYSICS
Author
Volume
Semester
Comtrolform
Preliminary
Course code
Course group
prof. G.Sermons, Dr. hab. phys.
doc. L. Shnidere, Dr. phys.
2 credit p.
2
examination
mathematics, mechanic
B
Annotation
The course presents the basic principles of the mechanics offluids taking as a basic a simplify models
of fluid. All importantfluid forms is consider: laminar, turbulent, with a free surface, diffusions and
supersonic flows.
Content
Fundamental concepts relating to fluids, fluids in equilibrium. The principles of fluid motion. The
fluids continuity. Bernoulli's equation. The momentum equation and its applications. Two kinds of
flow. The Reynolds number. Laminar flow. TheHagen-Poiseille law. The Couette flow. The
measurement ofviscosity. The theory of hydrodynamic lubrication. Turbulent flowin pipes. Head lost to
friction in a pipes. Boundary layers andwakes. Distribution of velocity in turbulent flow. The flow of
an ideal fluid. The streamlines and streamfunctions. Flow with a freesurface. The Chery equation. Simple
waves
and
surges
in
openchannels. The hydraulic jump. The groundwater flow. The
grounwaterpollutions. The problems of the pollutions and its controls. Flowwith appreciable changes of
density. Shock waves. Supersonic flowin pipes with variable cros-section.
Requirements for credit
test
Literature
Sermons G. Hidrodinamikas pamati.1998.
Massey B.S. Mechanics of fluids. 1994.
Fried J.J. Grounwater pollution. 1975.
INTRODUCTION TO SOLID-STATE MECHANICS
prof. Vitauts Tamužs
2 credit p.
3
examination
General courses in mathematics, mechanic
Author
Volume
Semester
Comtrolform
Preliminary
Course code
Course group
B
Abstract
Objection of the course consists in introduction of knowledge about internal forces and
deformation in solids. The approaches of crystal lattice and continuum are considered.
Introduction in theory of stress and strain states. The simplest methods of engineering design
(methods of the strength of materials). Introduction in fracture mechanics, creep and plasticity.
Content
1.
2.
3.
4.
Mechanics as separate part of physics. Historical review.
Classification of materials. The price and availability of materials.
Main properties of materials: density, stiffness and strength.
Strength and stiffness of materials, calculated from the bond of ideal crystal lattice
(theoretical strength).
5. Defects in solids: dislocations, cracks and pores.
6. Stress state is solid, stress tensor, principal stresses.
7. Strain state in solids.
8. Hooke's Law elastic constants.
9. Strength at complex stress state. Strength and yield criterions.
10. Simplest methods of engineering design. Bending of beams.
11. Potential energy of deformed body. Its minimisation.
12. Introduction of fracture mechanics.
13. Non-linear deformation. Creep.
14. Plastic deformation behaviour. Plastic limit design.
15. Introduction in mechanics of composites.
References
1.
2.
3.
4.
5.
E.Lavendels. Materiālu pretestība.
V.Feodosyev. Strength of materials (in Russian).
Yu.Robotnov. Strength of materials (in Russian).
N.Dowling. Mechanical Behavior of Materials, 1993.
M.Ashby, D.Jones. Engineering Materials, 1997.
Introduction to Computational Modelling
Author
Credits
Semester
Prerequisite
docent Leonīds Buligins
2
3
Control form
test
Computers and programming, General physics, Basic heat transfer,
Mathematical analysis, algebra and geometry
Course code
Course group
Annotation
Computational modelling as an additional tool to the theoretical and experimental methods of
investigation in physics, advantages and drawbacks of each method. Simulation of simplest physical
fields.
Content
Software for simulating physical fields. CAD software, file formats. Definition of geometry.
Topology of computational grid. Structured and unstructured grids, methods and software of grid
generation. Examples of grid generation in 2 and 3 dimensions.
Simulation of simplest physical fields. Comparison of numerical and analytical solutions.
Visualisation of scalar and vector field data. Animation of physical fields.
Requirements
Simulation of specified problem, analysis of results.
Literature.
1. Joe D. Hoffman. Numerical Methods for Engineers and Scientists, McGraw-Hill, 1992
2. S.V. Patankar. Numerical Heat Transfer and Fluid Flow. Computational Methods in
Mechanics and Thermal Science, Hemisphere Pub, 1980
3. G.B.Arfken, H.J.Weber. Mathematical Methods for Physicists, Academic Press,1995.
4. W.H.Press, S.A.Tekoulsky, W.T.Vetterling, B.P.Flannery. Numerical Recipes in Fortran,
Cambridge University Press, 1994.
5. J.G.Andrews, R.R.McLone. Mathematical modelling, Butterworths, 1976.
PHYSICS OF COMPUTATION
Author
Program
Volume
Semester
Control
Conditions
professor Andrejs Cebers
bachelor of physics
2 credit points
3
exam pass/no pass
Courses of general physics: mechanics, structure of
matter and thermal processes, programming skills.
Code of course
Group of course
B
Annotation
The physical principles which determine the computation processes and algorithms are
considered. General ideas of the theory of algorithms are given.
Content
NP and NP-complete problems. Their physical examples. The method of simulated annealing.
Concept of information. Coding. Computability. Turing machines. Church thesis. Complexity of
functions. Quantum computers. Q-bit. Entangled states. Elements of discrete electronics.
Thermodynamics of computation. Fredkin gate and its realisation by billiard balls. II
thermodynamics law. Maxwell’s demon. Bennett theorem about minimal necessary work for
erasing of one bit of information. Brownian dynamics as tool of the modelling of the physical
systems. Langevin equation. Feynman ratchet. Chemical energy transformation to the
mechanical work. Curie theorem. Molecular motors and their calculation by the method of the
Brownian dynamics.
Requirements to obtain the credit Accomplish practical works corresponding to each of the
theoretical subdivision points.
Literature
1. R.P.Feynman. Feynman lectures on computation. - Penguin books, 1999.
2. R.P.Feynman. The Feynman lectures on physics. v. IV. – M.: “Mir”.
3. Kirkpatrick S., Gelatt Jr.C.D., Vecchi M.P. Optimization by simulated annealing. Science –
1983 – v.220, N 4598 – P.671-680.
Tensor analysis
Lector
Program
Course value
Examination form
Prerequisites
Course group
lecturer Sandris Lācis
bachelor of physics
2 credit points
Semester
4th
pass/failure test
Mathematics: Mathematical Analysis, Geometry and algebra.
Course code
by choice (B part)
Annotation
The main topics of the course cover basic properties of tensors and application of tensors to physics
of continuous media. Tensor analysis in curvilinear coordinates includes derivation of differential
operators. Dynamic, cinematic and physical equations are considered for elastic media as well as
for ideal and viscous fluids.
Present course forms the basis for further studies of different branches of continuum mechanics (elasticity
theory, hydrodynamics etc.).
Content
Scalar and vector objects in physics. Stress field in elastic media. Relation between .. and stress matrix.
Inertia tensor. Curvilinear coordinate: local and joint bases, metric matrix. Covariant and contravariant
components of vectors and component transformations. Differentiation of base vectors, Christoffel
symbols of the first and second kind. Differentiation of vectors.
Definition of tensor, transformation of tensor components. Differentiation of tensors, differential
operators and integral theorems in generalised coordinates.Second order tensors: invariants, principal
values and axes. Second order tensor-functions.
Balance equation and equation of motion.
Velocity field and the rate of strain tensor. Individual acceleration of a particle. Mass conservation law.
Relation between stress and deformation in different media.
Requirements to get credit points
Solution of selected problem set, oral examination about the theory part of the course.
Literature
1. I.S. Sokolnikoff Tensor analysis
2. J.A. Schouten Tensor Analysis for Physicists
3. D.S. Chandrasekharaiah Continuum Mechanics
4. Б.Е. Победря. Лекции по тензорному анализу
Numerical methods
Author
Course size
Semester
Control form
Necessary knowledges
Course group
docent Andris Jakovičs
Program
B. Sc. in physics
2 credits
4
test with mark
computers and programming I, computers and
programming II, mathematical analysis, linear algebra
Course code
general (B)
Annotation
The aim of the course is to introduce students with general concepts of numerical analysis, and to extend
the notion about problems that arises solving the problems of mathematical physics by numerical
methods, especially using the method of finite differences.
Content
System of linear algebraic equations. LU expansion. Choice of leading element and
restructuring matrixes. Parameter of conditionality of the system. Appreciation of
relative error and accumulation of errors. Calculation of determinant and inverse matrix.
Iteration methods. Classification and variants of expressing them. Condition of convergence and
analysis of convergence rate. Use of Tchebicheff polynomials for increasing the rate of convergence.
Variation type methods of iteration.
Systems of non-linear equations. The convergence of stationary methods. Linearisation and various
combinations of internal and external iterations.
Cauchy problem for ordinary differential equation. The family of Runge-Kutta methods with
different precision and convergence of them. Multiple-step (Adams) methods, approximation order,
stability and convergence of them.
Method of finite differences and its basic concepts. Approximation of differential equations and
boundary conditions. Integro-interpolation method. Convergence. Direct and indirect schemes for
parabolic (heat transfer) type of equation. Two- and three-layer schemes. Schemes for hyperbolic type of
equation. Schemes for the cases with varying coefficients and non-linear equations. Error of
approximations; correctness and convergence of the scheme, connection between the stability and
convergence. Approximation of elliptic (Poisson) type of equations, stability and convergence of
corresponding differential scheme.
Direct and iteration methods of solving differential equations. Factorisation. Iteration methods of
Seidel, upper relaxation and Tchebicheff parameters. Methods of varying direction and matrix-like
factorisation; their convergence and stability. Reduction method.
Credit requirements
Preparing of the report about chosen topic, elaboration of individual exercise, test with theoretical
question.
Literature
1. A. Samarskis, A. Guļins. Skaitliskās metodes. - Maskava, Nauka, 1989, 430 lpp. (krievu val.)
2. C. Uberhuber. Computernumerik. – Berlin, Springer, 1995, Bd 1, 512 S.; Bd 2, 516 S. (vācu
val.)
3. B. P. Flannery. Numerical recipes in Fortran 77. – Cambridge, Cambridge Univ. Press, 1996,
934 pp (angļu val.)
METHODS OF MATHEMATICAL PHYSICS
Author
Program
Credits
Required for grade
Semester
Prerequisites
Course code
Group of course
Dozent M.Belovs, Dr.math.
bachelor of physics
4 credits
examination
5
General physics and calculus courses
B
Annotation:
The objective of course is simulation of real processes with the help of functional equations. It includes:
composition of equations (or equation systems), setting of a problem, classification, mathematical
correctness, methods of the simplest classic solutions, physical interpretations or checking.
Subjects:
1. General scheme for the research of natural processes with the help of the equations of
mathematical physics.
2. The most important methods of equation (system) composition. Examples.
3. Partial differential equations.
4. Setting of a problem, classification, correctness.
5. Cauchy problem for wave equations in R1, R2, R3 spaces, their solution, physical
interpretation, correctness.
6. Methods of separation of variables (Fourier) for mixed problems and boundary-value
problem.
7. Integral transformations and its applications in mathematical physics.
8. Notation of generalised solutions of a problem. Application
Requirements for receiving of credits:
1. Before the examination one needs to have exam in practical work.
2. The examination takes place in oral form.
Recommended literature:
1. E. Riekstinsh. Methods of mathematical physics. L… 629 p. (in Latvian).
2. A. Tihonov, A. Samarski. Equations of mathematical physics. Moscow, Nauka, 1975 (in
Russian).
Theory of elasticity and plasticity
professor Vitauts Tamužs
Author
Course size
Semester
Control form
Necessary knowledges
Program
2 credits
6
exam
B. Sc. in physics
General courses in mathematics, introduction in mechanics of
solids, theoretical mechanics, tensor analysis and mechanics of
continuum. Principles of theory of fracture.
Course code
Course group
general (B)
Abstract
The theory of stress and strain state is reminded (students should be familiar with principles of
continuum mechanics). Solutions of different classes of problems: beams, plates, twodimensional problems, variation principles and numerical methods. Principles of theory of
plasticity and the simplest problems. Two-dimensional solutions.
The content
1. Principles of theory of elasticity.
Stress and strain state. Boundary conditions. Stress equations of equilibrium and motion.
Deformation tensors. Hooke's Law. Compatibility conditions. Equations for displacements.
Lame equations. Equations for stresses, Beltrami equations. Uniqueness of solution.
2. Two-dimensional problem.
Plane strain and plane stress state. Airy function. Equations in Cartesian and Polar
coordinates. Lame problem. Flaman-Bousinesq solution. Circular and elliptical holes.
3. Plates and bars.
Bending of bars, torsion of bars. Hydrodynamical and membrane analogy in torsion. Bending
of plates. Boundary conditions.
4. Variation principles.
Statically admissible stress and kinematically admissible displacements. Theorem of
minimum potential energy. Castigliano theorem. Variation methods of solution. Rayleigh-
Ritz method. Bubnov-Galerkin's method. Torsion of bar and bending of plates by variation
methods. Basic of finite element method.
5. Theory of plasticity.
Deformational and incremental theories of plasticity. Yield conditions. Potential of plasticity
and Drucker's theorem. Two-dimensional problem. Characteristics and their properties.
Elastic-plastic torsion. Variation theorems in theory of plasticity. Kinematically admissible
displacements and statically admissible stress states. Limit state theorems.
6. The theories of strength and fracture.
Strength criterions for isotropic and anysotropic materials. Two concepts of fracture: linear
fracture and damage theories. The formulas of Kolosov-Mushelishvili. Linear fracture theory.
Stress concentration and stress intensity factor. Theories of Griffith and Irwin. Elastic plastic cracks.
References
1.
2.
3.
4.
5.
E.Lavendels. Elastības teorija.
Yu.Amenzade. Theory of elasticity (in Russian), 1971.
L.Kachanov. Foundations of theory of plasticity (in Russian), 1969.
Yu.Rabotnov. Mechanics of deformable solids (in Russian).
Ewalds, Wanhill. Fracture Mechanics.
APROXIMATE METHODS IN PHYSICS
Author
Program
Credits
Required for grade
Semester
Prerequisites
Course code
Group of course
Docent M.Belovs, Dr.math.
bachelor of physics
2 credits
6
Calculus, Mathematical Physics for bachelor grade
B
Annotation:
The objects of the course are various asymptotic methods for function approximation and their
applications: integral asymptotic, asymptotic methods of the solution for differential equations,
asymptotic solutions for transcendent equations and their various generalisations.
Subjects:
1. The most important operations with asymptotic expansions.
2. Asymptotic expansions of the roots of Algebraic and transcendent equations. Regular and
singular asymptotic.
3. Uniform asymptotic expansions in the theory of non-linear oscillation.
4. Differential equations with boundary layer.
5. Singular perturbation for linear partial differential equations.
6. Differential equations with large parameters. Methods of VKB.
7. Review of asymptotic methods for the solution of operator equations.
8. Asymptotic expansions of integrals.
9. Advantages and deficiencies of asymptotic methods. Connection between calculating and
asymptotic methods.
Requirements for receiving of credits: 16 hours lectures, 16 hours practical work. Students are
required to fulfil 2 independent home works for themes 2, 3, 4, 6.
Recommended literature:
3. Ф.Олвер. Асимптотика и специальные функции. Москва, «Наука», 1978., 376 стр.
4. А.Эрдейи. Асимптотические разложения. Москва, «Наука», 1981., 127 стр.
5. М.В.Федорюк. Асимптотика. Интегралы и ряды, Москва, «Наука», 1987., 544 стр.
6. А.Найфе. Введение в методы возмущений. Москва, «Мир», 1976., 455 стр.
7. Н.Н.Моисеев. Асимптотические методы в нелинейной механике. Москва, «Наука»,
1981., 400 стр.
8. А.М.Ильин. Согласование асимптотических разложений решений краевых задач.
Москва, «Наука», 1989., 336 стр.
9. Н.С.Бахвалов, Г.П.Панасенко. Осреднение процессов в периодических средах. Москва,
«Наука», 1988., 312 стр.
10. В.П.Маслов. Асимптотические методы теории возмущений. Москва, «Наука», 1988.,
313 стр.
NONLINEAR EQUATIONS AND SOLITONS
Author
Program
Volume
Semester
Control
Conditions
Code of course
Group of course
Professor Imants Bersons
bachelor of physics
1 credit points
6
exam
courses of general physics: mechanics, structure of matter and thermal
physics. Courses of mathematics: mathematical analysis, differential
equations, equations of mathematical physics
B
Content
1. Various equations used in physics.
History of solitons. Russel’s discovery. Korteveg-de Vries equation. Investigation of heat
transfer problem by Fermi, Pasta and Ulam. Unexpected results of numerical calculation by
Kruscal and Zabusky. Miura and conservation laws.
2. One-soliton solution of Korteveg-de Vries, sin-Gordon and non-linear Schrodinger equations.
Two-soliton solution of sin-Gordon equation – breathers and scattering of kinks.
3. Beklund transformation. Some examples.
4. Hirota’s method for solution of nonlinear equations. D-operators and their properties.
Representation of various non-linear differential equations using Hirota’s operators.
5. Inverse scattering method for solution of nonlinear differential equations. Miura’s
transformation of Korteved-de Vries equation. One-dimensional quantum mechanical scattering
problem. Gelfand-Levitan-Marchenko integralequation and its n-soliton solution.
6. Derivation of sin-Gordon and non-linear Schrodinger equations. Propagation of
electromagnetic waves in medium. Resonant system – sin-Gordon equation, nonresonant system
– non-linear Schrodinger equation.
7. Separation of fast and slow variables in non-linear differential equations.
8. Two- and three-dimensional non-linear differential equations. Virial theorem. Yang-Mills equations.
Two-dimensional exponentially damped solutions – dromions.
9. Quantization of field equations. Kink and quasiclassical quantization procedure.
Requirements to obtain the credit Oral exam
NONLINEAR SYSTEMS: I, II
Author
Program
Volume
Semester
Control
Conditions
Professor Andrejs Cebers
bachelor of physics
3 credit points
6 and 7
exam
courses of general physics: mechanics, structure of matter and thermal
physics. Courses of mathematics: mathematical analysis, differential
equations, equations of mathematical physics
Code of course
Group of course
B
Annotation
Non-linear phenomena in different dissipative systems are considered and their mathematical models are
given. Basic bifurcations leading to the structure formation processes in those systems are characterised.
Content
Swift-Hohenberg equation and formation of the periodic stationary structures. Ginzburg-Landau equation
for the structure order parameter. Stability of the periodic structures - Eckhaus instability and zig-zag
instability. Phase diffusion equation. Reaction-diffusion systems. Activator and inhibitor. Turing
instability. Fisher equation and selection of the front velocity. Mullins-Sekerka instability. Ivantsov
solution. Autosimilar solution for the propagation of the crystallisation front and its existence conditions.
Autosimilar solutions of I and II kind. Barenblat equation. Deterministic chaos. Lorenz equations.
Characteristic scenario of chaos emergence. Ginzburg-Landau equations and the transformations of the
hexagonal and stripe patterns.
Requirements to obtain the credit Oral exam
Literature
1. M.C.Cross, P.C.Hohenberg. Pattern formation outside of equilibrium. Reviews of Modern
Physics - 1993 - v.65, N 3 - P.851-1112.
2. J.D.Murray. Mathematical biology - 1993, Springer.
3. E.Ott. Chaos in dynamical systems - 1993, Cambridge University Press.
THEORY OF GROUPS
Author
Program
Course size
Semester
Control form
Necessary knowledges
Course code
Course group
docent Vladimirs Ivins
B. Sc. in physics
2 credits
6.
Basics of linear algebra
B
Summary
Concept of symmetry in physics appears to be one of the most successful in science. The symmetry of an
object, an equation, or a process allows to determine properties of the body, or solution of the equation, or
character of the process. The mathematical language for the symmetry is group theory and group
representations.
The special course is devoted to application of group representation for particular physical tasks: point
groups, symmetric (permutation) group, rotation group. These tasks are related with crystal symmetries,
symmetry of wave function and physical properties in three dimensional space. The dynamic symmetry is
considered and Green’s functions are introduced.
Contents
The basics of abstract group theory. Definitions of groups. Examples of groups: permutation groups of
numbers and matrixes. Subgroups. Keili’s theorem. Adjacent classes. Lagrange theorem. Normal
subgroups. Factor-groups. Homomorphism of groups. Principal theorem of homomorphism. Direct
multiplication of groups. Point groups. Symmetry elements. Equivalent axes and planes. Double-sided
axis. Rotation of groups with respect to axis. Group of diedrs. Law of rational indexes. Sn, Cnh , Cnv, Dnh
and Dnd groups. Group of regular polyhedron. Representations of groups. Principal definitions.
Equivalent representation. Characters. Expansion of representations. Shur’s lemma. Relations of
orthogonality. Criteria of irreducibility. Regular representations. Unitary representations. Two theorems
for non-equivalent representations of irreducible groups. Expansion of functions on base functions of
irreducible functions. Operations with representations. Irreducible representations of point groups. Abel
groups. Non-commutative groups. Character tables for irreducible representation of point groups.
Irreducible representations of symmetric (permutation) groups. Irreducible representations of rotation
groups. Classification of physical quantities. Dynamic symmetry and Green functions. Green functions of
differential and integral equations.
Credit requirements
Solving of exercise is necessary for the completion of test.
Literature
1. Эллиот Дж. , Добер П. Симметрия в физике. Т. 1,2. - М.: Мир, 1983.
2. Ландау Л.Д. , Лифшиц Е.М. Квантовая механика. Нерелятивистская теория. - М.: 1974.
Глава 12.
3. A.Jaunbergs. Cietvielu teorijas pamati. Simetrijas teorija. Rīga: LU, 1982.
4. A.Jaunbergs. Cietvielu teorijas pamati. Simetrijas grupas. Rīga: LU, 1983.
5. И.А.Малкин, В.И.Манько. Динамическая симметрия и когерентные состояния квантовых
систем. - М.: Наука, 1979. - 320 с.
Theoretical hydrodynamics
Author
Program
Volume
Semester
Control
Professor Andrejs Cebers
bachelor of physics
4 credit points
7
exam
Conditions
Code of course
Group of course
Courses of general physics: mechanics, structure of matter and thermal
physics. Courses of mathematics: mathematical analysis, vector analysis,
differential equations, equations of mathematical physics
B
Annotation
The general principles of the construction of the mathematical models of the continuous media are
considered. On the basis of the mathematical equations formulated the description of the different
problems of the dynamics of the liquids and the gases are given.
Content
Basic notions of the continuous media mechanics. Continuity equation. Stress tensor. Ideal and viscous
fluid models. Equation of motion. Continuous media full energy balance equation. Internal energy
equation. Local equilibrium hypotheses. Temperature equation. Vortices tube and circulation
conservation theorem. Potential flows. Flow around bodies and lifting force. Hill vortices. Twodimensional flows of the ideal liquid. Flow of viscous fluid and Stokes flows. Fundamental solution of
the Stokes equations. Sphere in the Stokes flow. Hele-Shaw flow. Saffman-Taylor instability. Problems
of the gas dynamics. Simple waves. Shock waves. Gugonio adiabate. Non-linear waves on the surface of
heavy liquid. Equation of Korteveg - de Vries.
Requirements to obtain the credit Oral exam
Literature
1. G.K.Batchelor. An Introduction to Fluid Dynamics. Cambridge University Press.
2. L.D.Landau, E.M.Lifshitz. Hydrodynamics (in Russ.) - 1986, Moscow, Nauka.
3. G.B.Whitham. Linear and Nonlinear Waves - 1974, John Wiley&Sons.
4. L.I.Sedov. Continuous media mechanics (in Russ.) - 1976, Moscow, Nauka
Numerical hydrodynamics
Author
Credits
docent Leonīds Buligins
2
Semester
7
Examination form
Prerequisite
test
General physics, Methods of mathematical physics, Tensor analysis,
Mechanics of continuum, Introduction to Computational Modelling,
Mathematical analysis, Geometry and algebra.
Course code
Course group
Annotation
Methods of numerical simulation of hydrodynamic, temperature and concentration fields. Solution of
specific CFD problem with commercial code.
Content
Solution methods of noncompressible fluid flow equations. CFD methods based on the vorticity
transport equation and velocity-pressure formulation. Solution methods for pressure, temperature
and concentration. Compressible flows, shock waves, artificial viscosity. Numerical aspects of
CFD, initial and boundary conditions, convergence criteria, numerical viscosity.
Solution of specified problem with commercial codes FLUENT, ANSYS, ECLIPSE.
Requirements
Solution of specified CFD problem, exam in theory.
Literature.
1. P.Roache. Computational Fluid Dynamics, Hermosa Publishers, 1976
2. H.K.Versteeg, W.Malalasekera. An introduction to Computational Fluid Dynamics,
Longman Scientific & Technical, 1995.
3. J.Anderson. Computational Fluid dynamics, McGraw Hill, 1995
4. P.Huyakorn, G.F.Pinder. Computational Methods in subsurface flow, Academic Press, 1983.
Compositions of atoms and molecules. Quantum theory
Electronic States of Atoms and Molecules
Author
Program
Course size
Semester
Control form
Necessary knowledge
Course code
Course group
Docent Boriss Zapols, Dr.habil.phys.
BSc in Physics
2 credit points
7
test
Courses in General Physics, Quantum Mechanics, and Methods of
Mathematical Physics
Elective – Theoretical Physics (B)
Summary
The Course presents methods and results of Quantum Mechanical Theory of atom and molecule
electronic shell structure in stationary states.
Contents
Hydrogen atom. Schroedinger equation. Moment representation. Symmetry in the Coulombic
field. Sturm functions. Parabolic coordinates. States of many-electron atom. Hartree-Fock
equations for atoms. LS bounding. Classification of energy levels. Unitary group and tensorial
representations. Configurations of equivalent electrons. Seniority and quasispin formalism.
Configurations of f-electrons. Construction of wave functions. Energy terms. Multiplet structure
of terms. Other bonding types. Electronic correlation. Partial separation of arguments. Stationary
perturbation theory. Superposition of configurations. Relativistic effects. Relativistic theory of
hydrogen atom. Radiational corrections. Breit equation for helium atom. Adiabatic
approximation in the theory of molecules. Hydrogen molecular ion. Hydrogen molecule. Spin
eigenfunctions. Self-consistent field method. Restricted and unrestricted Hartree-Fock theories.
MO LKAO method. Gaussian and Slaterian functional bases. Population analysis. Valence bond
theory.
Credit requirements
Test
Literature
1. M.G. Veselovs, L.N. Labzovskis, Theory of Atoms. Structure of electronic Shells. Moscow,
Nauka, 1986 (in Russian).
2. I. I. Sobelman. Elements of Theory of Atomic Spectra. Ievads atomu spektru teorijā. Moscow,
Nauka, 1977 (in Russian).
3. R. McWeeny, B. Sutcliff. Quantum Mechanics of Molecules. Molekulu kvantu mehānika.
Moscow, Mir, 1972 (in Russian).
Compositions of atoms and molecules. Quantum theory
Atoms and molecules. Interaction with fields
Author
Programme
Course extent
Semester
Form of test
Prerequisites
Course code
Course group
Prof. Marcis Auzinsh
Bachelor of Physics
2 credits
8
exam
Quantum mechanics
Elective – Theoretical Physics /B/
Summary
In this course interaction of atoms and small molecules with external fields is discussed. A
special attention is paid to interaction of atoms with light and approximations used to describe
this interaction. Second part of the course is devoted to the interaction of atoms and small
molecules with a stationary and slowly varying magnetic and electric fields.
Content
Time dependant fields. Monochromatic excitation. Two level atom. Majorana population
oscillations. Dressed states. Slowly varying interaction. Field defined by a complex exponent.
Rabi frequency. Rotating wave approximation, RWA. RWA with looses. Intense excitation.
Floquet Hamiltonian. Dynamical Stark effect. Bloch’s equation. Three level system. RWA for
three level system. Electronic level ladder. Lambda type scheme, population trapping. V type
scheme. N level system. Processes with continuum. Excitation to quasi continuum. Fano states.
Fano resonance. Broad line approximation. Rate constants, validity of approximation. Electric
dipole transitions. Multipole transitions. Density matrix in case of broad line approximation.
Description of light in the approach of density matrix. Liouville equation. Density matrix in a
classical limit. Angular momentum polarization in optical field. Hanle effect. Quantum beats.
Stationary fields. Zeeman effect in stationary field. Pashen Back effect. Stark effect in a
stationary field. Quadratic Stark effect. Stark effect for hydrogen, linear Stark effect. Stark effect
for close lying electronic states. Atoms in electric and magnetic field simultaneously. Chaotic
motion.
Requirements to be met to obtain credits
Written exam
Textbooks
1. Bruce W. Shore. The Theory of Coherent Atomic Excitation. John-Wiley & Sons vol.
1,2. pp. 1735 (1990)
2. M. Auzinsh, R. Ferber, Optical Polarization of Molecules, Cambridge University Press,
pp. 306 (1995)
3. I.I. Sobelman, Introduction to the theory of atomic spectra. Nauka, 319 pp. (1977) (in
Russian)
CONDENSED MATTER PHYSICS
Author
Program
Course size
Semester
Control form
Necessary knowledge
Course code
Course group
docent Ilmārs Madžulis, Dr. phys.
B. Sc. in physics
2 credits
8.
examination
Statistical physics
Elective (Theoretical physics) /B/
Course summary
The course presents the principal properties of condensed systems and theoretical methods of
their description. The accent is put to conductivity of matter (metals and semiconductors),
magnetic phenomena (dielectric, paramagnetic, ferromagnetic materials). Harmonic and
anharmonic ion oscillations in crystal (ferroelectric materials) are considered.
Content
Brave’s lattice, inverse lattice, first Briliuenne zone. Drude’s model. Conductivity at high
frequencies. Heat conductivity, Widemann-Franz relationship. Hole’s effect.
Electrons in periodic field. Bloh’s theorem. The structure of electronic zones. Bregg’s
planes. Oscillations of the lattice in harmonic approximation. Acoustic and optical oscillations.
Debye’s theory of heat capacity. Band structure of semiconductors, number of charge carriers.
Inclusion of acceptor and donor levels in calculation of conductivity. The general relationships
for magnetic susceptibility of matter. Paramagnetic and diamagnetic parts of susceptibility. Pauli
paramagnetism. Spin-spin exchange interaction. Heisenberg’s model, spin waves, magnons.
Ising model for ferromagnetic materials. Classical plasma. Debye’s screening length. DebyeHückel theory.
Credit requirements
1. Solving equations
2. Oral examination
1.
2.
3.
4.
Literature
Ашкрофт Н., Мермин Н. Физика твердого тела Т 1-2. -М.: 1979.
Китель Ч. Введение в физику твердого тела -М.: Наука, 1978.
Займан Дж. Принципы твердого тела - М.: Мир, 1974.
Фейнман Р. Статистическая механика - М.: Мир, 1975.
Finite Element and Boundary Element Methods
Author
Credits
Semester
doc. Leonīds Buligins
2
8
Prerequisite
General physics, Methods of mathematical physics, Tensor analysis,
Mechanics of continuum, Introduction to Computational Modelling,
Mathenatical analysis, Geometry and algebra.
Examination form
Exam
Course code
Course group
Annotation
Finite element and boundary element method applications for steady physical fields (temperature,
concentration a.o. fields).
Content
Comparison of finite difference, finite element and boundary element methods, advantages and
drawbacks.
Variational methods. Galerkin, least squares and collocation methods. Interpolation and weight
functions.Weak solution. Finite elements and their types.
FE mesh generation. Connectivity and coordinate matrix. FE equations for element and domain.
Solution of Poisson equation with FE method.
Requirements
Solution of specified FEM problem, exam in theory.
Literature.
1. Segerlind L., Applied Finite Element analysis, John Wiley and Sons, 1976.
2. Zenkevich O., Taylor R., The Finite Element Method, McGraw-Hill, 1994.
3. Strang G., Fix., An Analysis of the Finite Element Method, Prentice-Hall, 1973.
INTRODUCTION TO HEAT AND MASS TRANSFER
Author
professor Gunars Sermons
Semester
8
Volume
2 credit p.
Controlform
examination
Preliminary
courses of theoretical physics
Course cods
Course group
device
Annotation
The course contains the Onsagers linear theory, heat and masstransfer, heat and mass transfer in
homogeneous magnetic field, heat and electric charge transfer and transfer process for complicated
systems in a electric and magnetic fields.
Content
The Gibbs equation. Local thermodynamic equilibrium. Entropy andentropy production. Obtaining the
dissipation function. Theconservation laws of substance, momentum and internal energy. The
diffusion flow. Internal energy flow. The heat flow. Entropyconservation law: entropy flow and
dissipation function. Thephenomenological laws. Generalized thermodynamic fluxes andforces. The
linear phenomenological laws. Curie principle. Duality relation. Phenomenological laws for heat and
mass transfer. Phenomenological coefficients.
Flow's
transformation. Phenomenological and
empirical transfer laws. Thermal diffusion and thermal effect of diffusion. The temperature
equation. Diffusion in a external fields. Anisotropic heat and masstransfer in a homogeneous magnetic
field. The phenomenological and empirical laws of heat and electric charge transfer. Heatconduction
and electroconduction.
Thermo-electric
phenomena: Peltier's, Thomson's and Seebeck effects.
Sedimentation potential and electrophoresis.
Literature
1. S.De Groot, P.Mazur. Non-equilibrium thermodynamics. 1981.
2. R.Haase. Thermodynamic irreversible process. 1967.
3. W.Jost. Diffusion in solids, liquids, gases. 1960.
Mechanics of composites
Lector:
Examination form:
Preconditions:
Professor Vitauts Tamužs
Vilis Valdmanis
Bachelor in physics
2 credits
Terms:
exam
Theory of elasticity
Group:
by choise
Programme:
Course volume:
8
Course code:
Abstract
The properties of unidirectional, laminated and dispersal reinforced composites are treated.
Fundamentals of design and strength laminated of composites are considered.
Content
1. Constituents of composites. Matrix and fibers. Their properties.
2. Properties of unidirectional (UD) composites as function of constituents.
3. Strength and failure of UD composites. Ineffective length of fiber. Stress concentration.
Statistical strength distribution. Single fiber composite test.
4. Effective moduli of composite with spherical inclusions. Eshelby's formula.
5. Deformation of laminate composites. Bending of laminates. Effective module of laminates.
Edge effects.
6. Strength theories (failure criterions) of anysotropic solids and composites. Malmeister's and
Hashin's criterions.
7. Failure of laminates.
References
1. A.Malmeisters, V.Tamužs, G.Teters. Strength of Polymer and Composite materials. Riga,
Zinatne (in Russian).
2. B.Agarwal, L.Broutman. Analysis and performance of fiber composites. John Wiley & sons,
1980.
3. R.Christensen. Mechanics of composite materials. John Wiley & sons, 1979.
Materials in Nature and Techniques
Lector:
Programme:
Course volume:
Examination form:
Preconditions:
Professor Andris Krumins
Bachelor in physics
2 credits
Terms:
2
test
Secondary education. Introduction to physics: Mechanics.
Group:
B
Course code:
Annotation:
Materials describe substances by help of which technical ideas are brought into life. In this
course the nature and artificially synthesised materials are being studied analysing the
general regularities of their structure qualities. The course is interdisciplinary comprising
physics, chemistry, ecology.
Content:
From the inputs to the materials used in practice. Materials classification according to
their application and structure.
Materials state of aggregation: solid states, liquids, gasses and plasma. Change of the state of
aggregation. Refrigerator principle.
Chemical elements as materials formation blocks. Atom structure. Elements classification:
metals and non-metals. Periodical system.
Chemical bonds and material structure. Interatomic bonds (metallic, ionic and covalent).
Intermolecular bonds. Differences between the interatomic and intermolecular bonds. Crystalline
and amorphous structure. Structure importance: diamond, graphite, fullerene.
Conception about the metals, polymers, glasses and ceramics. Their obtaining technologies and
comparison of their qualities.
Composite materials and their application advantages.
Functional materials. Conception about semiconductors, growing of monocrystals and thin films.
Materials for photonics.
Sensors, actuators and intelligent structures.
To get a credit two written tests is a must.
Literature:
1.Bobs Makdjuels, Ķīmija, Zvaigzne ABC, 1999.
2.Graham Hill, Materials, Hodder and Stoughton, London, 1993.
3.British encyclopedia: http://www.britannica.com
4.Philip Ball, Made to measure, New Materials for 21st Century, Princeton, 1997
5.http://Kasap3Usask.Ca
Methods of Experimental Physics
Author
Programme
Course extent
Test form
Preconditions
Janis Harja, Docent
Bachelor of Physics
2 credits
Semester
3
pass/failure test
Computers. General physics: Elektromagnetism. Mathematics:
Geometry and Algebra.
Course code
Course group
Elective – Experimental physics /B/
Summary
In this course methods of experimental physics are considered. First principles of
geometrical optics are discussed, including optical systems as well as optical
system modelling programs. Further basics of black-and-white, colour and digital
photography are discussed. The second part of the course is carried out in the
training lab.
Contents
1. The Geometry of Image Formation. Fermat’s principle. Reflection in plane mirrors.
Refraction through plane surfaces. Reflection and refraction at a spherical surface. Thin lenses.
Lens aberrations.
2. Optical Instrumentation. Prisms. Magnifiers. Huygens and Ramsden eyepieces.
Microscopes. Telescopes: Galilean and astronomical telescope. Optics of the eye. Errors of
refraction and their correction. Optical system modelling programs.
3. Practical Photography. The history of photography. The camera. The camera lens.
Photographic materials. Principles of colour photography. Additive and subtractive processes.
Digital photography.
4. Solving of the Problems: lenses, mirrors, optical systems.
5. Training lab. Focometry. Focal lengths measurements for positive and negative lenses using different methods.
Investigation of spherical and chromatic aberrations. Bimorph. Investigation of modern ferroelectric material using
electronic as well as optical methods. The Camera. Recording of black-and-white photographs, using studio camera
with compound lenses, simple lens and pinhole. Recording of digital photographs.
Requirements to be met to pass the course
Pass/failure test in written form
Textbooks
1. Students O. Optics.- Riga: Zvaigzne, 1971, chapt. 8,9. (in Latvian).
2. Pedrotti F.L., Pedrotti L.S. Introduction to Optics.- Prentice-Hall, Inc., 1987, chapt. 3, 4, 5, 6.
3. Mitchell E.N. Photographic Science.- John Wiley & Sons, 1984, pp.420. (available also in
Russian)
Seminar in technologies of measuring and physical values
Author
Program
Size
Testing method
Preliminary knowledge
Professor Ivars Tale
Bachelor in physics
2 credits
Semester
3
credit
Course of the general physics: Mechanics, Structure of mater.
Course group
Optional B
Course code
Summary
Objectives of the seminar are focused to study media of experiment in physics, principles and laboratory
equipment for basic measurements, realisation of most important investigation techniques. The seminar
gives preliminary knowledge allowing starting participation in research in physics at scientific
laboratories.
Content
Principles and methods of high accuracy measurements of electrical values. DC integrating
instruments, Lock- in and Box- car systems.
Principles, methods and equipment of optical measurements. Photometry and radiometry.
Photodetectors. CCD array detectors, light intensifiers. Detectors and methods for time-resolved
spectroscopy. Streak camera. Auto-correlation technique.
Light sources. Glow lamps, discharge lamps. Laboratory light sources in IS, VIS, UV, VUV,
RTG spectral ranges. Synchrotron radiation in physics. Lasers: gain media, resonators.
Parameters of the laser emission. Laser types. CW and pulse lasers, Pico- and femto- second
lasers. Basics of the mode locking and light pulse compression.
Vacuum: obtaining, measuring.
Cryogenics. Refrigerators: cooling principles, Laboratory equipment for investigations at low
temperatures. Cryostats for optical, electrical, magnetic resonance measurements. Closed cycle
He temperature cryostats. Methods and cryostats for obtaining of super- low temperatures.
High temperature techniques in physics laboratory. Thermometry.
Demands for obtaining of the credit
Preparation of three themes for discussion and participation in discussions.
Literature
1. Set of Application Notes for scientific equipment; User manuals of scientific equipment; Set
of handbooks in optics, cryogenics, vacuum technique heat technique, collected for each theme
of the seminar.
Spectral Measurements
Author
Course’s volume
Term
Checking form
Necessary knowledge
Course’s group
Docent Valdis Rēvalds
4 credits
4
exam
General Physics courses
Course’s code
By choice (B)
Annotation
The peculiarity of optical methods is that an object is not impressed by external factors or
their influence is very weak. It provides a maximum objectivity of obtained results.
Information about studied objects is got by measuring radiation intensities, absorption,
interference, diffraction, polarisation, scattering and other parameters.
Spectral measurements, which allow to find out not only the object’s chemical composition,
temperature, pressure, but also to elucidate its motion, rotation velocity, presence of
magnetic and electric field, as well as other parameters, are especially significant.
Such measurements are widely used in plasma diagnostics, astrophysics, ecology, biology,
chemistry, but especially important they are in a case of a remote sensing when it’s
impossible to contact with an object directly.
Contents
In this Laboratory course the following works are presented for choice:
1) Phase-contrast method in microscopy.
2) Study of excitation and luminescence spectra.
3) Study of operation regimes of photomultiplies and photoelements.
4) Study of structure of atomic spectra.
5) Measuring of arc discharge plasma’s temperature by relative intensities method.
6) Measuring of plasma’s temperature by Doppler broadening of spectral lines.
7) Measuring of electron concentration by Stark broadening of spectral lines.
8) Determination of concentration of excited atoms using absolute line intensities.
9) Electronic absorption spectra in the visible and ultraviolet radiation region.
10) Infrared absorption spectra.
11) Raman scattering spectra.
Literature (in Latvian)
Atomic Physics Laboratory
Elementary processes in plasma
Spectral measurements
Holography and Fourier Optics
Author
Program
Course extent
Test form
Preconditions
Janis Harja, Docent
Bachelor of Physics
2 credits
Semester
5
Exam
Computers. General physics: Elektromagnetism. Wave Optics.
Mathematics: Analysis. Geometry and Algebra.
Course code
Course group
Elective – Experimental physics /B/
Summary
Principles of optical holography are discussed. Classical in-line and off-line as well as Fourier
holograms are analysed. Modern hologram recording techniques and applications are considered.
The second part of the course is devoted to principles of Fourier optics, including applications in
optics and optical date processing. The integral part of the course is the training lab where
recording of laser- and white light holograms as well as optical date processing is foreseen.
Content
1. Holography as the wavefront reconstruction process. The in-line (Gabor) hologram. The
two-beam (Leith-Upatnieks) hologram. Volume reflection (Denisyuk) hologram. Fourier
holograms. Types of holograms. Gas lasers and diode lasers as a light sources. Practical
recording media: silver halide photographic emulsions, dichromated gelatine, photoresists,
photopolymers. Applications of holography: holographic optical elements, computer-generated
holograms, holograms for displays. Holographic interferometry. Colour holography.
2. Fourier optics. Abbe’s theory of image formation. Fourier analysis in optics: . slit aperture,
periodic apertures, finite harmonic wave train. Lens as a Fourier transformer. Spatial filtering:
high-pass and low-pass filters. Optical correlation.
3. Solving of problems. Characteristics of laser light. Applications of Fourier analysis in optics.
Requirements to be met to pass the course
Written exam
Textbooks
1. J.Harja. Introduction in Holography.- Riga, 1994, 110 p. (in Latvian)
2. Hariharan P. Optical holography.- Cambridge University Press, 1984, 310 p.
3. Reynolds G.O., DeVelis J.B., Parrent G.B., Thompson B.J. The New Physical Optics
Notebook: Tutorials in Fourier Optics.- SPIE Optical Engineering Press, 1989, chapt.1-8, 2931.
Statistical methods in data
Author
Programme
Course extent
Semester
Test form
Preconditions
Course code
Course code
Professor Marcis Auzinsh
Bachelor of Physics
2 credits
5
Pass/failure test
Theory of probability and mathematical statistics
Elective – Experimental physics /B/
Summary
In this course methods for experimental data procession are considered. Direct and undirect
measurements are analysed. Discussion is based on the method of maximal probability method. The proof
of statistical hypotheses is analysed.
Contents
Main ideas form the mathematical theory of probability. Probability distribution functions and probability
density functions. Main distribution functions. Moments that characterise distribution functions. Joint
probability distribution for several variables. Coefficients of covariation and correlation. Covariation
matrix. Low of error propagation. Method of maximal probability. Function of maximal probability and
probability ration. Logarithmically probability function in general case and for normal distribution.
Maximal probability method for the linear function. Least square method. Determination of the unknown
coefficients and covariation matrix. Measurements with equal and different accuracy. Data approximation
with non-linear function. Case when non-linear function can be transformed in a linear form. Case when
function can not be transformed into a linear form, case of one and more than one non-linear parameter.
Optimisation algorithms. Statistical models, optimal strategy. Random numbers with different distribution
functions. Random numbers with normal distribution function.
Requirements to be met to pass the course
1.
Pass/failure test in written form
Textbooks
1. З Брандт; Статистические методы анализа наблюдений, Москва, Мир, 1975. 312 стр.
2. Origin. Users manual. Microcal Software Incorporation.
Crystal physics
(Fundamentals of Solid State Physics)
Author
Program
Size
Testing method
Preliminary knowledge
Course group
Professor Ivars Tāle
Bachelor in physics
2 credits
Semester
6
examination
Optics, Fundamentals of quantum physics, Fundamentals of thermal
physics.
Course code
option B
Annotation
Solid state physics in the mesoscopic approach is considered. Basic experimental data and
theoretical concepts of structure, thermal, electric, magnetic, optic properties of solids are considered,
including superconductivity, structure defects of solids. The central object of the course under discussion
is periodical structure of atoms in the one particle approach. The course serves preliminary knowledge for
studies in physics of non-crystalline solids, physics of ferroelectrics, solid state radiation physics, material
physics.
Content:
Chemical bound in solids; Covalent bound. Ionic bound. Metallic bound. Hydrogen and Van-der-Waals
bound. Crystal classes. Inverse lattice. Brave lattices. Wigner-Seitz cell. Simplest structures of crystals.
Diffraction in periodic structures. Laue’s scattering. Bregg’s scattering. Structure- and atom- factors.
Structure analysis.
Atom dynamics in crystals. Dispersion relations. Raman scattering. Phonons. Quasi-particles in solid state
physics. Inelastic scattering of photons, neutrons and electrons on phonons. Thermal properties of solids.
Thermal capacity: Einstein’s model, Debye’s model. Thermal expansion. Thermal conductivity.
Bolcman’s equation.
Free electrons in solids. Drude’s theory. Sommerfeld’s theory. Free electron gas in the potential well.
Density of states. Fermi gas. Fermi energy. Fermi surface. Specific heat of free electrons. Thermoelectron-emission.
Energy band structure of electrons in solids. Electron in the periodic potential of atoms. Bloch’s waves.
Quasi-free electron approach. Close bound electron approach.
Dia- and paramagnetism. Ferromagnetism. Collective effects in the spin interaction. Models of band- and
localised- electrons of ferromagnetism.
Superconductivity. Londons’s equations. Basic properties of superconductors. BKS theoty.
Superconductors of the first and second kind. Tunneling of electrons in superconductors. Josepsohn’s
effect. High temperature superconductors.
Defects in solids. Thermodynamics of defects. Ionic conductivity, Electron-vibration transitions in
defects. Intrinsic and extrinsic defects. Colour centres.
Demands for obtaining of the credit:
credit of educational aid in solid-state physics.
1. N.W. Ashcroft, N.D. Mermin Solid State Physics Holt, Reinhart and Winston N-Y
2. Г С Жданов Физика Твердого Тела Изд МГУ 1962
3. Ч. Киттель Введение в физику твердого тела . Москва Наука 1978.
PHYSICS OF NONCRYSTALINE SOLIDS
Author:
Credit:
Semester:
Test form:
Needed knowledge:
Code:
Group:
Prof. Andrejs Silins, Dr. habil. phys.
2 credit points
6.(bachelor studies)
Pass a test
Physics of crystalline Solids
Bachelor studies in experimental (B)
Annotation
Physics of noncrystalline solids is discussed at the microscopic level. The main attention is paid
to the structure, vibrational and electronic systems, transfer processes, defects and applications
of these materials. The discussion of the course is based on the results in optical glasses, as these
materials are the more popular substances with vide practical applications.
Content
Description of the short, middle and long range order in the structure of noncrystalline solids. Description
of atomic vibration on the base of phonon concept and low temperature heat capacity peculiarities.
Electrons, holes and exitons in noncrystalline solids. Charge and energy transport. Intrinsic, impurity and
complex point defects in noncrystalline solids. Point defect generation mechanisms. Stability of
noncrystalline solids. Practical applications to produce optical instruments.
Requirements for credit
1. Not lower grade than 4
2. Use of literature is allowed
3. Procedure:
3.1.test is oral
3.2.Test consists of 3 questions
3.3.Final grade is the average value.
Literature
Publications in scientific journals
LASER PHYSICS
Professor Jānis Spīgulis
2
Bachelor of physics
6
exam
Courses of fundamental physics and electrodynamics
Author
Credits
Programme
Semester
Assessment
Pre-requisites
Code of subject
Group of subject
free choice - experimental physics (B)
Abstract
The programme comprises physical basis of the laser action, details of various laser types (gas,
solid-state, etc.), laser applications in science, technology and medicine, and laser safety aspects.
Practical part (exercises, individual studies, laboratories) is included, as well.
Content
Historical introduction. Spontaneous and stimulated emission of atoms. Inverse level population.
Principles of the laser action, schemes of optical multiplication and generation. Energy supply
for laser action. Optical, collisional and electrical pumping schemes. Laser resonators: types and
features. Generation modes. Theories of resonators.
Continuous and pulsed modes of laser action. Spectral characterisation of generation.
Synchronisation of modes, single-mode generation.
Solid-state lasers: ruby laser, YAG lasers, fibre-optic multipliers and lasers. Atomic gas and
vapour lasers: He-Ne, Ar, Kr, Cd, Cu, Au, Se. Molecular lasers: CO2, CO, N2. Excimer and
photo-dissociation lasers. Dye lasers and other lasers with adjustable frequency of generation.
Semiconductor diode lasers.
Scientific applications of lasers: laser spectroscopy, photochemistry and non-linear optics. Lasers
in technology: optical communications, laser rangers and lidars, laser displays, cutting
instruments. Consumer laser technologies (CD-players, laser printers, stripe-code readers).
Medical applications of lasers: laser diagnostics, photodynamic therapy, laser surgery.
Laser safety rules and standards. Protective glasses and other safety means.
Requirements for crediting
The exam evaluation should be at least 4. The practical works should be completed before the
exam.
Literature
1. O. Svelto. Principles of Lasers, 4th ed., Plenum Press, NY-London, 1998.
2. W. T. Silfvast. Laser Fundamentals, Cambridge University Press, 1996.
3. F. Kaczmarek. Vvedenije v fiziku lazerov, M., Mir, 1981.
PRACTICALS LASER PHYSICS
Author
Credits
Semester
Assessment
Pre-requisites
Professor Jānis Spīgulis
2
Programme
Bachelor of Physics
7
pass (test)
Laser physics course
Code of subject
Group of subject
selective - Experimental physics (B)
Abstract
8 laboratory practical are included; they are performed on equipments of Institute of Atomic
physics and spectroscopy.
Content
1.
Design and features of diode lasers.
2.
3.
4.
5.
6.
7.
8.
Spectral content and mode selection of laser radiation.
Design, action and features of dye lasers.
Modulation of lasers radiation.
Circular and linear polarisation of laser radiation.
Landing of laser radiation into optical fibres.
Design, action and features of gas discharge lasers.
Laser displays on side-emitting optical filters.
Requirements for crediting
The practical work must be protocoled, and then a written report must be prepared and filed. The
subject is passed after an oral defence of all reports.
Literature
1. O. Svelto. Principles of Lasers, 4th ed., Plenum Press, NY-London, 1998.
2. W. T. Silfvast. Laser Fundamentals, Cambridge University Press, 1996.
3. F. Kaczmarek. Vvedenije v fiziku lazerov, M., Mir, 1981.
4. Lāzeru fizikas praktikums – metodiski norādījumi. J.Spīgulis, M.Tamanis, J.Kļaviņš,
I.Klincāre. LU FMF, 1999.
PARADOXES OF QUANTUM PHYSICS
(Multiparticle interferometry and superposition principle)
Author
Programme
Course extent
Semester
Test form
Preconditions
Course code
Course group
Summary
Prof. Marcis Auzinsh
Bachelor of Physics
2 credits
7
Pass/failure test
Physics of Microworld (mandatory), Quantum Physics
(desirable)
Elective – Experimental physics /B/
The topics in connection of the contemporary experiments on the foundations of Physics are
discussed in this curse. The analysis is based on the wave packet approach and approach
developed for the analysis of the Einstain Podolsky Rosen paradox and Bell inequalities
Content
Wave packet dynamics of the highly excited atomic and molecular states. Coherent superposition
of quantum states. Coherent and squeezed states of harmonic oscillator. Dynamics of quantum
wave packets. Harmonic oscillator. Square well. Rigid rotator. Ridberg states of an atom. H atom
at the classical limit. Kepler orbits in quantum mechanics. Angularly localised wave packets.
Radially localised wave packets. Experimental wave packet creation and observation in a
hydrogen atom. Wave packets in molecular physics. Vibration of molecules from the viewpoint
of wave packets. Rotation of molecules and wave packets. Dynamics and time of tunnelling.
Different way to define tunnelling time in quantum mechanics. Tunnelling and its counterpart in
classical optics. Experimental determination of tunnelling time. Quantum measurement without
interaction. Experimental way to measure without interaction. Efficiency of interaction free
measurement. Quantum Zeno effect. Ways to increase interaction free measurement efficiency.
Interaction free imaging. Manyparticle interference experiments. Einstain Podolski Rosen
paradox. Bell inequalities. Two particle interference experiments and particle spin. Two particle
interference experiments in coordinate and impulse space. Decoherence. Schroedinger cat
paradox. Indistinguishability of particles in interference experiments. Quantum computing,
teleportation, chriptography.
1.
Requirements to be met to obtain credits
Participation in seminars and oral test.
Textbooks
Course is based on the original material published in periodical journals as a review and original
papers. Copies of the papers are provided to students during the course.
PHYSICS OF SURFACE AND METALS
Author
Program
Size
Testing method
Preliminary knowledge
Professor Ivars Tāle,
Bachelor in physics
2 credits
Semester
7
credit
Basics of the material physics, Crystal physics, Quantum
mechanics.
Course code
Course group
Optional B
Annotation
The course offers basics of physics of metals and surface physics of solids as
independent subtrend of solid state physics and material science.
The course deals with consideration the general theoretical and experimental
concepts of structure and properties of metals and alloys. Special attention is paid
on the processes of shaping of the structure, which is responsible for the technical
properties of alloys. The surface physics part of the course considers the basic
knowledge’s about atom- clean as well as real surfaces, their structure and
importance in formation of the chemical and physical properties of solid
crystalline metals. The course can be basis for the further studies in the material
science.
Content
Crystalline lattice defects in metals: vacancies, dislocations, grain and phase boundaries. Fundamentals of
the theory of deformation and destruction. Dislocation mobility governed processes in mono- and
polycrystalline materials, structure levels of plastic deformation. Diffusion- controlled deformation
processes. Mechanisms of destruction. Mechanisms of increasing of the material resistance. Alloys and
state diagrams. Transformation of the structure and phase. Recrystalization, polygonization, ordered solid
solutions. the martensite theory. Fundamentals of metal processing.
Modern materials of metals:
composite metals, amorphous alloys, nanostructured and superplastic materials.
Fundamentals of the surface themodynamics. Structure and morphology of the surface. Surface
phenomena: adsorption, condensation, watering, adhesion, surface diffusion. Real and atomclean surfaces. Methods of obtaining of clean surfaces. Modification of surfaces. Analytical
techniques for investigation of surfaces: electron microscopy, Auger spectroscopy, SIMS, AFM,
tunneling microscopy.
Demands for obtaining of credits:
Credit educational aid in solid-state physics
Literature
1. Surface Science. The First Thirty Years Ed.: Charles B. Duke North-Holland, 1994.
Dielectric Physics
Lector:
Programme:
Course:
Professor Andris Krumins
bachelor in physics
2 credits
Terms:
7
Examination form:
Preconditions:
test
Courses on substance structure, quantum mechanics, crystals and
non-crystals.
Group:
by choice
Course Code:
Annotation:
The course comprises the macroscopic and microscopic qualities of dielectrics. A special
attention is paid to the description of polarisation mechanisms. Conception about polar
dielectrics (piezoelectrics, pueroelectrics and ferroelectrics) and about their application is given.
Content:
Conception about the clasical and active dielectrics, their classification.
Macroscopic polarisation theory.
The induced polarisation mechanisms: elastic polarisation of electrons, ions and dipoles.
Non-elastic polarisation mechanisms: thermal polarisation of ions, dipoles and electrons.
Coherence between macro- and microscopic qualities of dielectrics; notion of the inner field.
Electroconductivity mechanisms in dielectrics.
Theory of dielectric loss.
Polarisation qualities in polar dielectrics; piezoelectrics, pueroelectrics, spontaneous polarisation
and ferroelectrics.
To get a credit: two written tests is a must.
Literature:
1. Ю. М. Поплавко «Физика диэлектриков» Киев «Виша школа» 1980
2. British encyclopedia: http://www.britannica.com
3. S.O. Kasap. “Principles of electrical engineering; materials and devices” Irvin- McGrawHill, 1997
4. http://Kasap3.Usask.Ca
PHOTONICS
Author:
Prof. Andrejs Silins, Dr. habil. phys.
Credit:
Semester
Test form:
2 credit points
8 (bachelor studies)
Pass a test
Needed knowledge:
Physics of crystalline and noncrystalline
Solids and laser physics
Code:
Group:
Bachelor studies in experimental physics (B)
Annotation
The future of photonics is discussed in comparison with microelectronics and optoelectronics.
The main attention is paid to practical achievements and unsolved problems. The discussion, of
course, is based on the understandings of interaction of light with solids.
Content
Subject of photonics in comparison with microelectronics and optoelectronics. Description of different
types of light sources. Transport of optical signals in free space, condense matter and optical fibbers.
Amplification, commutation and densification of optical signals. Basic principles of optical
communications. Role of photonics in the development of computer techniques. Optical microchips.
Logical elements. Principal new possibilities.
Requirements for credit
1. Not lower grade than 4
2. Use of literature is allowed
3. Procedure:
3.1. test is oral
3.2. test consists of 3 questions
3.3. final grade is the average value.
Literature
Publications in scientific journals
ATOMIC AND MOLECULAR SPECTROSCOPY
and
LABORATORY OF LASER SPECTROSCOPY
Author
Volume of the course
Professor Ruvin Ferber, Dr. Habil. Phys.
4 credits
Semester
8
Form of control
test and examination
Preliminary requirements general, theoretical physics, math, advanced laboratory
Code
Group
B - Experimental Physics
Summary
The course explains basic concepts of the structure and configuration of atoms and molecules,
their interaction with light, collisional processes, elements of molecular optics and spectroscopy.
Along with traditional methods and approaches, the course includes contemporary methods of
sub-Doppler laser spectroscopy, laser cooling of atoms and molecules, elements of coherent and
quantum optics. Special focus is put on modern methods of spectral analysis applied for
environmental studies. The course includes advanced laser spectroscopy laboratory, in particular,
including studies of the spectra of atoms and diatomic molecules using laser induced
fluorescence spectroscopy.
Contents
Configuration of an atom and the background of atomic spectroscopy. Basic concepts of the
theory of atom. Optical transitions in atoms. Contours of spectral lines, collisional broadening.
Zeeman and Stark effects. Polarisation of atomic emission, coherent effects. Atomic spectral
analysis.
Molecular structure and spectroscopy. Basic concepts of the theory of diatomic molecules. The
theory of rotating diatomic molecules, rotational spectra. Vibrational motion and vibrationrotational spectra. Born-Oppenheimer approximation. Electronic potentials and spectra.
Symmetry and selection rules. Angular moments, fine structure of molecular states, Hund’s
coupling cases. Fluorescence spectra. Intensity and polarisation. Franck-Condon factors.
Molecular constants, polynomial and Dunham representation, RKR potentials. Intramolecular
processes and interactions. Spin-orbit interaction. Electron-rotation interaction. Predissociation,
its classification and experimental studies. Photodissociation. Relaxation processes in diatomic
molecules, collisions. Lifetime of molecular states, its experimental determination and
theoretical estimates.
Basic concepts of the structure and spectra of molecules containing more than two atoms.
Symmetric rotator. Modes of vibration and vibrational spectroscopy. Electronic spectra. Singlettriplet conversion. Examples: spectra of benzene-like organic species.
Laser spectroscopy of atoms and molecules. Sub-Doppler spectroscopy. Non-linear laser
spectroscopy. Laser cooling and trapping of atoms and ions. Photoassociation spectroscopy of
cold and ultra-cold molecules. Probing of atmosphere by lasers. Lidars. Intracavity spectroscopy.
Monitoring of atmospheric pollution’s by laser spectroscopy.
Literature
M. Auzinsh and R. Ferber, Optical Polarisation of Molecules, Cambridge University Press,
Cambridge, 1995.
P.R. Bunker, P. Jensen, Molecular Symmetry and Spectroscopy, Canada Research Press, 1998.
R. Ferbers. Divatomu molekulu lāzeru spektroskopija. Mācību līdzeklī “Spektrālie mērījumi”,
Rīga,1984.
R. Ferbers. Luminescences polarizācijas mērījumi. Mācību līdzeklī “Spektrālie mērījumi”, Rīga,
1978.
И.И. Собельман, Введение в теорию атомных спектров, Москва, Наука, 1977
W. Demtröder, Laser Spectroscopy. Springer-Verlag, Berlin, Heidelberg, 1982
CV’s of teaching staff
Marcis Auzinsh, Curriculum Vitae
Name
Persons code
Date and place of birth
Marcis Auzinsh
110156-10623
January 11, 1956, Riga
Address:
Department of Physics, University of Latvia, 19 Rainis boulevard, Riga, LV
– 1586, LATVIA, telephone +371- 7615703, [email protected]
Education:
1974-1979 Department of Physics, University of Latvia
Scientific qualification and teaching experience:
 1986, Dr Phys (Candidate of Physics and mathematical sciences), Leningrad USSR
 1987-1988, PRC, Peking University, Department of Physics, postdoctoral studies
 1991 Canada, University of Western Ontario, Department of Physics, postdoctoral studies
 1993 USA, studies at the programme organized by USIA, University administration in US
 1995 Dr. habil phys
 1996 Great Britain, Royal Society visiting professor, University of Sussex
 1996-1997 Germany, research fellow in the programme, Interaction of Oriented Molecules,
Institute for Interdisciplinary Studies, University of Bielefeld,
 1998 USA visiting professor, University of Oklahoma
 1998 full member, Academy of Sciences, Latvia
Job experience:
 1975-1995 laboratory assistant, engineer, lecturer, assistant professor Department of Physics,
University of Latvia
 since 1994 Head of the chair of Experimental Physics University o f Latvia
 since 1995 Professor, University of Latvia
 since 1997 Head of the Department of Physics, University of Latvia
 since 1998 director of Institute of Atomic Physics and Spectroscopy, University of Latvia
 since 1998 chairman of the Senate of the University of Latvia
Participation in professional organisations and boards, awards
 Humboldt Foundation Hanle prize
 Latvian Science Foundation board member in a section for Physics and Astronomy
 Vice chairman of the committee for the degrees in Physics and Astronomy
 NATO expert in Science division
 Member of the Latvian, American Physical Societies, member of the Institute of Physics, UK
 Coordinator of the European Physics Education Network in Latvia
 Board member of the International Physics Olympiad
Publications: Total number of a scientific publications – 142.
WWW page
http://www.lza.lv/scientists/auzinsm.htm
Curriculum Vitae
IMANTS BERSONS
Imants Bersons
Birth : 11 December 1935, Talsi district, Latvia.
Citizenship : Latvian
Graduated from : University of Latvia, 1960 in Physics.
Scientific Degrees :
Ph.D. (USSR Candidate of Sciences), University of Latvia, 1967,
Dr.Sc. (USSR Doctor of Sciences), Leningrad University, 1985,
Nostrificated degree in Latvia - Dr.habil.phys. 1991.
Membership in Scientific Associations :
Corresponding Member of the Latvian Academy of Sciences (since1992).
President of Latvian Physical Society.
Positions :
Institute of Physics, Latvian Academy of Sciences, researcher (1960-1966), senior researcher (19671991), director of Institute of Physics (1992-1993).
Present position :
Professor of Institute of Atomic Physics and Spectroscopy, University of Latvia (since 1994).
Scientific Domain of Interests :
Theoretical atomic physics, interaction of laser radiation with atoms, field theory.
Professional Activities :
Research in following directions - theoretical nuclear physics (in sixties), interaction of electron with
quantized electromagnetic field (in seventies), atoms in strong electromagnetic fields (multiphoton
ionization, free-free transitions), interactions of atoms with half-cycle pulses, nonlinear equations and
solitons.
Publications :
About 50 scientific publications in the USSR and international journals.
Last Publications :
1.I.Bersons, Latvian Journ. of Phys. and Techn. Sciences, No.5, lpp.3-16 (1995) ,"Sudden approximation
for Rydberg-atom transitions in interaction with
short electromagnetic pulses".
2.I.Bersons and A.Kulsh, Phys. Rev. A55, 1674 (1997), "Transition form factor of the hydrogen
Rydberg atom".
3.I.Bersons and A.Kulsh, Latv. J. Phys. Tech. Sci. 2, 51 (1998),"Excitation of Rydberg atoms by half
cycle pulses".
4.I.Bersons and A.Kulsh, Phys. Rev. A59, 1399 (1999), "Excitation an ionization of Rydberg atoms by
short half-cycle pulses".
5.I.Bersons and A.Kulsh, Phys. Rev. A60, 3144 (1999), "Large angular momentum changing in short
half-cycle pulse interaction with a Rydberg atom".
International Cooperation :
1.Participation in the EC Network "Electron and Photon Interaction with Atoms, Ions and Molecules"
(coordinator P.G.Burke, UK) in 1994-1996
2.One of the organizers of SILAP conference (supported by NATO) in September of 2000 in Belgium.
Pedagogic Activities (for masters and PhD students in the University of Latvia) :
Since 1994 academic courses :
1."Atomic physics theory"
2."Quantum electrodynamics"
3."Nonlinear equations and solitons"
Supervisor of PhD student A.Kulsh.
ANDREJS CĒBERS
Curriculum Vitae
Personal code:
Birth date:
Address:
Education:
Prename Name
151247-10509
15.12.1947
Andrejs Cēbers
LU, Physics and mathematics faculty, Zeļļu 8
Institute of Physics, Salaspils 1,
LV-2169, tel.: 945830, tel. (mob.) 9195961
E-mail: [email protected]
1966-1971, Latvian State University, Physics and mathematics faculty,
student
Pedagogical and scientific qualification:
1976 Candidate of Physico-mathematical Sciences (Moscow State University)
1985 Senior Scientific researcher (diploma)
1988 Doctor of Physico-mathematical Sciences(Moscow State University)
1992 Habilitated doctor of physics
1992 Corresponding member of Academy of sciences of Latvia
1993 True member of Academy of Sciences of Latvia
1997 Professor of theoretical physics of University of Latvia
Experience:
1971-1974 engineer of Institute of Physics LAS
1974-1983 junior scientific researcher of Institute of
Physics of LAS
1983-1990 senior scientific researcher of Institute of Physics of LAS
1991-1993 leading scientific researcher of Institute of Physics of LAS
1993-1996 professor of Institute of Physics of LAS
1996-till now leading scientific researcher of Institute of Physics of LAS
1997-till now Professor LU
Participation in professional, social and other structures:
Editor in chief of journal Magnetohydrodynamics
Member of the expert commission in Physics mathematics and astronomy of
Council of Science of Latvia
Member of Physical Society
Publication:
Total number of Scientific and methodical publications - 170
Information on web:
http://www.lza.lv/scientists/cebers/htm
CURRICULUM VITAE
RUVIN FERBER
Dr.Habil.Phys., Professor
Born in Riga, Latvia, 13.12.1946
Address:
Department of Physics University of Latvia,
19, Rainis Blvd., Riga, LV-1586 LATVIA
Phone: +371-7-615703 Fax: +371-7-820113
e-mail: [email protected]
Professional interests:
 atomic, molecular and optical physics;
Languages: Russian, Latvian, English
Education:
 Dr.Habil. Phys. from Latvian Academy of Sciences (Riga), 1992;
 D.Sc. (Doctor nauk) in Physical and Mathematical Sciences from the St. Petersburg (Leningrad) State
University, 1988;
 Ph.D. (Kandidat nauk), Physical and Mathematical Sciences from University of Latvia, 1979;
 post-graduate doctoral studies (aspirant) at University of Latvia, 1975-1978;
 studies at the University of Latvia, Faculty of Physics and Mathematics, 1965-1971.
Experience (professional):
 full professor, Department of Physics, University of Latvia, since 1989;
 associate professor, Department of Physics, University of Latvia, 1984-1989;
 assistant professor, Department of Physics, University of Latvia, 1978-1984;
 senior technician, engineer, Department of Physics, University of Latvia, 1971-1977
Honors and Awards:
 Alexander von Humbolt Foundation Hanle prize, 1992.
Professional Activities and Memberships:
 member of Latvian Scientist Union, since 1992;
 member of American Physical Society, since 1993;
 head of MOLPOL Laboratory, Institute of Atomic Physics and Spectroscopy, University of Latvia,
since 1996;
 Habilitation and Promotion Council in Physics at the University of Latvia (chair, since 1997);
Courses, teaching:
 Optics
 Atomic and Molecular Physics
Research in physics: developing novel methods in atomic, molecular and optical physics; foundations
and philosophy of physics. Monograph: Optical Polarization of Molecules (Cambridge University Press,
Cambridge), 1995 (with M.Auzinsh). Articles: above 80, in Physical Review, Physical Review Lett.,
Journal of Physics, Foundations of Physics Lett, Uspekhi Fiz. Nauk, J. Chemical Physics, Molecular
Physics, etc.
CURRICULUM VITAE
Name Surname: Andris Krumins
Identification No: 310343-10616
Date & place of birth: Talsi, 1943.gada 31.martā
Address:
Institute of Solid State Physics, University of Latvia, Riga,
Kengaraga Str.8, LV-1063, Phone: (+371) 2261414, FAX: (+371)112583
e-mail: [email protected]
Education:
1962-1966 student at Faculty of Physics & Mathematics,
Univerity of Latvia
1967-1969 Ph.D.student at Faculty of Physics & Mathematics,
Univerity of Latvia
Pedagogic/Scientific Qualifications:
1970 Candidate of Sciences, Rostova University , Russia
1986 Doctor of Sciences, Institute of Physics, Latvian Academy of Sciences
Since 1997 Professor at the University of Latvia.
Academic Positions:
1966-1969 Senior researcher at the University of Latvia
1969-1978 Chief of Ferroelectrics Department and Deputy director at the Insitute
of Solid Stae Physics (ISSP)
1991-1999 Dirctor of the ISSP
May, 1999 Deputy director of the ISSP
Organization and Management Activities:
Since 1991 Senator at the University of Latvia
Member of International Advisory Boards
Member of Latvian Physics Society and American Optical Society.
Publications: Total number of scientific publications: 166.
Curriculum vitae
Gunārs Sermons
Birth data
Personal code
June 6th, 1934, Latvia
150634-10405
1959 Latvia State University, Faculty of physics and mathematics – higher
education in physics
1966 post-graduate course at the Institute of Physics of Latvian Academy of
Sciences
PROFESSIONAL CERTIFICATION
in technical physics
Academic and scientific grades
1966 Candidate of physics and mathematics sciences, get from Latvian Academy
of Sciences
1989 Doctor of Technical Sciences, get from All-Union Research Institute of
Electric Machines design (Leningrad)
1991 Professor at faculty of Physics and Mathematics, University of Latvia
1992 Dr. habil. Phys., get from Latvian Academy of Sciences
Research area
The problems and theory of the electrodynamics and magnetohydrodynamics devices
Vocation
1958 – 60
laboratory assistant at the Chairs of physics in the Institute of Medicine of Riga
1960 – 63
engineer and junior research worker at the Institute of Physics of
1966.-.68
Latvian Academy of Sciences
1968 – 81
senior research worker at the Institute of Physics of Latvian Academy of Sciences
1981 - 91
the head of the Chair of electrodynamics and Continuos Medium Mechanics,
docent (1981 – 91) and professor (since 1991)
training and methodical publications:
1. E.Šilters, G.Sermons, J.Miķelsons. Elektrodināmika. Mācību līdzeklis fizikas un tehnikas
specialitātes studentiem. Rīga, Zvaigzne, 1986.-359 lpp.
2. Г.Сермонс, Э.Шилтерс. Специальная теория относительности. Учебное пособие. Рига, ЛГУ
им.П.Стучки, 1976, 113 с.
3. Г.Сермонс. Аналитические методы решения линейных задач теории поля. Рига, ЛГУ
им.П.Стучки, 1989, 103 с.
OTHER PUBLICATIONS:in scientific journals 66, inventions and patents 35, significant
monographs:В.Э.Циркунов,Г.Я.Сермонс,Р.К.Калнинь,Б.Д.Жейгур. Бесконтактный контроль потока
жидких металлов. АН Латв.ССР. Институт физики. Рига, Зинатне, 1973 - 252 с
Г.Я.Сермонс. Динамика твердых тел в электромагнитном поле. Рига, Зинатне, 1974 - 247 с
Academic study courses
Natural sciences. Physics. Electrodynamik. Methods of the theoretical physics
Foundations of the hydrodynamics. Electrodynamics of the Continuous Medium
Honours
Latvian State Prize (1974)
EDUCATION
Curriculum vitae
Andrejs SILIŅŠ
Professor Andrejs SILINS, Secretary General Latvian Academy of Sciences,
Akademijas laukums 1, Riga, LV1524, Latvia
Professor Institute of Solid State Physics, University of Latvia,
Kengaraga iela 8, Riga, LV1063, Latvia
Phone: +371 721 1405
Fax: +371 722 8784; +371 782 1153
E-mail: [email protected]; [email protected]
http://www.lza.lv/scientists/silinsa.htm
Born:
October 12, 1940, Riga, Latvia
Interests:
Physics of Optical Glasses, Radiation Processes in Glasses, Point Defects in Fused Silica
Spectroscopic Investigation of Intrinsic and Impurity Defects in Fused Silica
Development of Geometric and Electronic Models of Defects
High Temperature Point Defect Generation and Recombination Mechanisms
Radiation Processes in Fused Silica
Languages: Latvian, Russian, English
Education
University of Latvia, Riga, 1963
State University, Moscow, 1966
Candidate of Physics and Mathematics (Candidate of Science in former USSR, Ph.D. in Western
countries), University of Latvia, Riga, 1972
Dr.habil.phys. (Doctor of Science in former USSR), University of Latvia, 1984
Experience
University of Latvia:
Junior researcher, Semiconductor Physics Problem Laboratory, 1966-1967
Postgraduate (Ph.D. Student), 1967-1970
Head of Division, Semiconductor Physics Problem Laboratory, 1971-1978
Vice-Director, Institute of Solid State Physics, 1978-1984
Director, Institute of Solid State Physics, 1984-1992
Professor, Institute of Solid State Physics, 1991 Latvian Academy of Sciences:
Secretary General, 1992 Other:
Member of Parliament (Saeima) of the Republic of Latvia, 1993-1995
Honours and Awards
Award of Honour for Achievements in Teaching Young Scientists, Latvian Ministry of Education, 1989
Medal for Achievements in the People Education, Latvian Ministry of Education, 1990
Corresponding Member, Latvian Academy of Sciences, 1990-1992
Full Member, Latvian Academy of Sciences, 1992
Professional Activities and Memberships
Chairman (1991-1992, 1998-1999), Vice-chairman (1990-1991, 1997-1998), Member (1992-), Latvian
Council of Science
Member, American Physical Society, 1990Member, International Society for Optical Engineering, 1993-1994
Member, Latvian Physical Society, 1991Chairman, Editorial Advisory Board of the "Proceedings of the Latvian Academy of Sciences", 1992 -
Lectures
The possibilities to use the intrinsic defects optical properties for optoelectronics in fused silica. Invited
lecture. NATO Advanced Research Workshop
PANCSO'96, Chisinau, Moldova, 1996.
Courses
University of Latvia:
Physics of optical glasses,
Optical properties of solid materials
Physics in general
Recent/Representative Publications
A.R.Silins. Defects in glasses. - Rad.Effects and Defects in Solids, 1995, vol.134, pp.7-10
A.R.Silins. Thermally induced point defects in fused silica. - Glastechnishe Berichte-Glass Sci. Technol.,
1994, vol.67C, pp.14-18
A.R.Silins, L.A.Lace. Influence of stoichiometry on high temperature intrinsic defects in fused silica. J.Non-Crystalline Solids, 1992, vol.149, pp.54-61
A.R.Silins. Light-induced ionic processes in optical oxide glasses. - J. Non-Crystalline Solids, 1991,
vol.129, pp.40-45
A.R.Silins, A.N.Trukhin. Point Defects and Elementary Excitations in Crystalline and Glassy SiO2..
Riga: Zinatne, 1985, 244 pages (in Russian)
A. Silins. Point Defects in the Glass Network. - Glass Science and Technology, 1998, vol. 71C, pp. 6166.
Research Projects
A.Silins (Scientific co-ordinator of Project) INCO-COPERNICUS Nr.20533: Creation and
Development of Fellow Member to the Innovation Relay
Centres in Latvia. European Commission (1997- ).
Dr.habil.phys. L.Skuja, Institute of Solid State Physics, University of Latvia (Head of Project).
Spectroscopic Studies of Point Defects in Oxide Materials
with Different Degree of Structural Disorder. Latvian Council of Science (1997-2000).
Avocations: Volleyball, gardening, children education and apiculture
Curriculum vitae
JANIS SPIGULIS
Date and place of birth :
Address :
9 May 1950 in Riga, Latvia
Physics Department and IAPS University of Latvia, Raina Blvd. 19,Riga,
LV-1586, LATVIA
Phone:+371 7228 249
FAX: +371 7820 113
E-mail: [email protected]
Education
Degree
Discipline
Year received
Univ. of Latvia
M. Sc.
Physics
1973
Univ. of Latvia
Ph. D.
Optics
1979
Univ. of Latvia
Dr. Habil. Phys.
Technical Physics
1993
Univ. of Latvia
Professor
Applied Optics and
1995
Optoelectronics
Univ. of Latvia
State Professor
Laser Physics and
1998
Spectroscopy
Ph. D. thesis : Study of the sensitised fluorescence of metal vapour mixtures in pulsed mode.
Dr. Habil. Phys. thesis: Optoelectronical methods and devices for experimental research, technological
control, and information transfer.
RESEARCH AND ACADEMIC ACTIVITIES
J. Spigulis graduated from the University of Latvia in 1973. As a graduate student, he joined
Laboratory of Spectroscopy of UL to study kinetics of optical excitation energy transfer in metal vapour
mixtures. The results of this work have been represented at his Ph. D. thesis (Riga, 1979). Later in 1980 1985 he dealt with ion mass-analysis in laser excited atomic beams as well as with infrared emitterreceiver systems and pulsed optical radiation detection and calibration techniques. SInce 1986 his
research activities are concentrated to fiberoptics, optoelectronics and biomedical optics; he established
and leads the Fiberoptics and Optoelectronics Group at University of Latvia. His recent work has been
concerned with design and investigation of optical fibre sensors, communication devices, medical
lightguide systems and new types of the side-glowing optical fiber, as well as with optical methods for
nonivasive cardiovascular diagnostics.
Since 1973 J. Spigulis has been a staff researcher at University of Latvia in positions of Junior
Research Associate (1973-1980), Senior Research Associate (1980-1986), Leading Scientist (1986-1994)
and Professor. Dr. Spigulis has worked out and delivers lecture courses "Lightguide Physics",
"Optoelectronics", “Laser Physics” and “Earth Physics” for B. Sc. Students, and "Fundamentals of
Biomedical Optics" and "Medical Lightguides" for M. Sc. students. In 1995 he launched the MSc
programme on Biomedical Optics at University of Latvia and actively co-ordinated this programme in the
following years.
J. Spigulis has authored over 60 published papers and a book on fiberoptics for students; he holds
8 patents. The research results have been presented at numerous international conferences and seminars in
Latvia, Russia, USA, Canada, Mexico, UK, Sweden, Finland, France and other countries. In 1995 J.
Spigulis was involved in a 6-month medical fiberoptics research project at King's College London, UK.
Other international activities include participation in the EU TEMPUS project on Medical Engineering
and Physics education in Baltic states and in two VISBY projects with Swedish universities (Lund and
Linkoping). He is the founder and present vice-chairman of the Baltic Chapter of SPIE - International
Society for Optical Engineering, member of Latvian Union of Scientists, Latvian Physical Society and
Latvian Society of Medical Engineering and Physics.
LIST OF THE MAIN PUBLICATIONS
1. J.Spigulis. Pulsed sources for excitation of atomic fluorescence. - In: "Flash Photometry", v. 5, Leningrad, 1978,
p.164 / R*.
2. J.Spigulis, A.Bulishev, V.Malkin. Kinetic studies of excitation transfer in the Cd-K and Cd-K-N2 mixtures. Abstr. 6 Int. Conf. on Atomic Physics (ICAP), Riga, 1978, 294.
3. A.Bulishev, V.Malkin, N.Preobrazhensky, J.Spigulis. Kinetics of excitation transfer in mixtures of metal vapours
and molecular gases. - Opt. Spectrosc. (USSR),1979, v.46, No. 6, p. 639.
4. J.Spigulis. Radio-frequency electrodeless tubes as optical temperature indicators. - PTE, Moscow (Instrum. &
Experim. Techniques, Plenum Publishing Co., USA), 1983/3, p. 209.
5. J.Spigulis. Mass-analysis of Sodium atoms in opticaly excited atomic beam.- Abstr. of the 8-th U.S.S.R. Conf. on
Physics of Electron and Atom Collisions, Riga, 1984, v.2, p. 123 / R.
6. J. Spigulis. Optical Fibres (a textbook). - University of Latvia, Riga, 1987, 64 p. / L.
7. J.Spigulis. Fiberoptic sensors for control of physical parameters (a review). - In: "Methods and Devices for
Physical Research", University of Latvia, Riga, 1989, p.3 / R.
8. J.Spigulis, M.Vitols, A.Rieba, A.Liepa. PCS optical fibre fault detection and diagnosis. - Proc. of the 4-th Int.
Conf. "OPTICS'89", Varna, Bulgaria, 1989, p.56.
9. J. Lazdins, J. Spigulis. Slope-splitted optical fibre refractometer: model and experiment. - Latv. J. Phys. Techn.
Sci., 1992, N 3, p 47 / L.
10. J.Spigulis, J.Lazdins, D Barens. Fiberoptical pyrometric and refractometric intensity-ratio sensors. - ISFOC'93
Conference Proceedings, IGI (Boston), 1993, p 280.
11. J. Spigulis. Compact illuminators, collimators and focusers with half-spherical input aperture. - SPIE Vol. 2065,
1993, p. 54.
12. J. Spigulis, J. Lazdins, G. Barens. Fiberoptical intensity-ratio refractometer with digital display. - SPIE Vol.
2068, 1993, p. 308.
13. J. Spigulis. Compact dielectric reflective elements. 1. Half-sphere concentrators of radially emitted light. Appl.Opt., 1994, v. 33, No. 25, p. 5970.
14. J. Spigulis, J. Lazdins. Compact dielectric reflective elements. 2. Multichannel filter of closely spaced spectral
bands. - Appl Opt., 1994, v. 33, No. 28, p. 6638.
15. J. Spigulis, D. Pfafrods, M. Stafeckis. Optical fiber diffusive tip designs for medical laser-lightguide delivery
systems. - SPIE Vol. 2328, p. 1994, p. 69.
16. J. Spigulis. Potential of fibre optic sensors for medical monitoring (Strategic Review). - King’s College London
Press, 1995, 52 p.
17. J. Spigulis, J. Lazdins, D. Pfafrods, M. Stafeckis. Side-emitting optical fibers for clinical applications. - Med.
Biol. Eng. Comput., 1996, v. 34, Suppl. 1, Pt. 1. p. 285.
18. J. Spigulis, D. Pfafrods, M. Stafeckis, W. Jelinska-Platace. The "glowing" optical fibre designs and parameters. SPIE Vol. 2967, 1997, p. 226.
19. J. Spigulis, D. Pfafrods. Clinical potential of the side-glowing optical fibers. - SPIE Vol. 2977, 1997, p. p. 84.
20. J. Spigulis. MSc course programme on Biomedical Optics. - SPIE Vol. 3190, 1997, p. 342-345.
21. J. Spigulis, U. Rubins. Photoplethysmographic sensor with smoothed output signals. - SPIE Proc. Vol, 3570,
1998, p. 195-199.
22. J. Spigulis. Master’s level education in Biomedical Optics: four-year experience at University of Latvia. - SPIE
Proc. Vol. 3831, 1999, p. 189-192.
23. J. Spigulis, G. Venckus, M. Ozols. Optical sensing for early cardio-vascular diagnostics. – SPIE Proc. Vol.
3911, 2000, p. 27-31.
*Languages: /R – Russian, /L – Latvian
Web-pages:
http://ieva05.lanet.lv/~asi/fog-page.htm
http://ieva05.lanet.lv/~asi/biomedic.htm
CURRICULUM VITAE
EDVĪNS ŠILTERS
230434 -10002
April 23rd, 1934, Jelgava, Latvia
latvian, 2 daughters
Adresses:
University of Latvia, Faculty of Physics and Mathematics,
Zellu 8, Riga, LV-1002phone - 7615443, 9109436,
fax 7820113, e-mail: [email protected]
Education:
Latvia State university, Faculty of physics and mathematics - higher
education in physics, year of graduation - 1958
Academic and scientific grades:
1973 Candidate of physics and mathematics sciences
1977 Docent, Latvia State university
1993 Doctor of Physics, University of Latvia
1998 Dr. habil. Phys, University of Latvia
1999 Professor - Physics Didactic, Faculty of physics and mathematics, University of Latvia
Work experience:
1958 – 1970 Assistant, lecture - Latvia State university, Faculty of physics and mathematics
1970 – 1989 Docent - Latvia State university, Faculty of physics and mathematics
1977 – 1987 Head of the Chair of Experimental Physics
1993 - …… Director of Bachelor and Master study programs
1999 - …… Professor of the Division of Experimental Physics, University of Latvia
Participation in professional and public organizations:
1998 - … Member of the Senate, University of Latvia
1998 - … Member of the Board for Promotion in Physics, University of Latvia
1995 - … Director of the Centre of Physics education, Faculty of physics and mathematics,
University of Latvia
1995 - … Member of Physics education Consulting board of the Ministry of Education and
Science, Latvia
1994 - … Chairman of the Board of Faculty of physics and mathematics, University of Latvia
Name, Family name:
Personal code:
Birth data:
1994 - … Member of the Board of Physics Society in Latvia
Main professional interests and activities:
Physics, physics education, didactic of physics ( natural science for nonprofessional groups of
society)
Project management “Basic physics for lower secondary level of education”, author of physics
text books for 8 and 9 grade schoolchildren.
Organization of Higher Education.
Publications: total number of research and pegagogical publications - 52
IVARS TALE
CURRICULUM VITAE
NAME:
IDENTIFICATION No:
DATE OF BIRTH:
ADDRESS:
Ivars TALE
23013610118
January 23, 1936
University of Latvia,
Faculty of physics and mathematics, Zellu Str. 1
Institute of Solid State Physics, Kengaraga Str. 8,
LV-1063 Riga , Latvia; [email protected].
EDUCATION:
1954 – 1959 University of Latvia, Faculty of Physics and
Mathematics, student.
1966-1969 University of Latvia, research student.
ACADEMIC AND SCIENTIFIC QUALIFICATION
1974 Candidat of Phys. and Math. Sciences
1983 Doctor of Phys. and Math. Sciences
1987 Professor (Certificate of SU Supreme Attestation
Commission )
1993 Member of Latvian Academy of Sciences
1991 Dr. habil. in Physics
1996 Full member of Latvian Academy of Sciences 1997 Professor
of University of Latvia
PROFESSIONAL EXPERIENCE AND POSITION
1959 Research assistant Faculty of Physics and Mathematics
(FPM), University of Latvia (UL).
1959-1966 Research assistant, Research Laboratory of
Semiconductor Physics (RLSP), UL
1969-1971 Research assistant, RLSP, UL.
1971-1979 Head of Research Group, RLSP, UL
1979-1997 Head of Research Division, Institute of Solid State
Physics (ISSP), UL
1997 - present, Professor FPM, UL
INVOLVEMENT IN PROFESSIONAL, PUBLIC STRUCTURES
Member of Association of Scientists of Latvia
Member of Physical Society of Latvia
Member of Promotion Council in Physics, UL
CURRICULUM VITAE
Vitauts P.Tamuzs
Head of laboratory, Institute
of Polymer Mechanics
Latvian University
Address:
Aizkraukles iela 23
IPM
Riga LV 1006
Latvia
Phone +371-7-543 306, Fax +371-7820467,
e-mail: [email protected]
Home:
Ozolciema 24/1-48
Riga LV 1058
Latvia
PERSONAL
Born Dec. 2, 1935, Riga
Divorced
Citizenship Latvian
EDUCATION AND DEGREES
Dipl. Mech. Moscow State University 1959
Cand. Sc. (Ph.D.) Moscow State University 1963
Dr. of Sciences, Academy of Sciences Latvian SSR, 1973
Nostricified to Dr. Habil. Eng., Latvia 1992
SCIENTIFIC REWARDS
Latvian state prize winner 1983
USSR state science prize winner 1985
LANGUAGES
Latvian, Russian, English
PROFESSIONAL AND TEACHING EXPERIENCE
Head of Laboratory Institute of Polymer Mechanics Latvian Ac. of Sc. 1964 - present
(Deputy director 1975 - 1986)
Assistant, docent (Associate Prof.) Polytechnical Institute Riga 1963 - 1967
Associate Professor of Mechanics Latvian University 1967 - 1975
Professor of Mechanics Latvian University 1975 - present
EDITORIAL EXPERIENCE
Editor-in-Chief Mekhanika kompozitnih materialov (Mechanics of composite materials) 1988 - present
Board of Editors Theoretical and Applied Fracture Mechanics 1984 - present
Board of Editors Prikladnaya Mekhanika (Applied Mechanics) 1991 - present
Board of Editors Archives of Mechanics 1996
Board of Editors Mechanics of Time Dependent Materials 1996
Editor of Proceedings of First and Second US-USSR symposia "Fracture of composite materials" 1979,
1982. Editor of numerous books in Russian.
MEMBERSHIP
Member of Academia Europaea since 1995
Member of Latvian Academy of Science since 1992
President of Latvian National Committee for Theoretical and Applied Mechanics since 1992
Member of International Society for the Interaction of Mechanics and Mathematics since 1989
Member of Latvian Council of Science 1993 - 1996
APPLIED RESEARCH ACTIVITY
EUREKA project EU888 "EUROSPRING"
EUREKA project EU1841 "EUROBOGIE"
EC project JOULE-2
EC project CONFIBRECRETE - current
Research contract with Alfa-Laval Separation Co, Sweden since 1990
Numerous contracts with USSR industry in composite materials, fracture mechanics, fatigue, theoretical and
experimental
GUEST RESEARCH
Lehigh University USA, 1975 - 1976, Berlin Technical University 1996, 1999
INVITED LECTURES
USA:
Lehigh University, VPI & SU, Northwestern University, Wisconsin University, Bridgeport
University
Germany:
Magdeburg Technical University, Berlin Technical University
France:
Grenoble University, Ecole Nationale Superieure des Mines de Saint-Etienne
Sweden:
Linkoping University, Chalmers Technical University, Lulea University
Greece:
National University of Athens
China:
Beijing Institute of Aviation Materials
Denmark:
Aalborg University, RISØ Center
Korea:
Pohang University
USSR:
Numerous Universities and Research Centers
PUBLISHED BOOKS
V.Kuksenko, V.Tamuzs. Fracture micromechanics of polymer materials. //Riga, Zinatne 1975 in Russian,
English translation - Martinus Nijhoff Publ. - 1981., pp. 310.
A.Malmeisters, V.Tamuzs, G.Teters. Mechanik der Polymerwerkstoffe. //Riga, Zinatne 1972 in Russian
three editions, German translation - Akademie -Verlag. - Berlin., 1977, pp. 597.
N.Romalis, V.Tamuzs. Fracture of nonhomogenous solids. Riga, 1989, pp. 224 (in Russian, English
translation in progress).
V.Tamuzs and coauthors. Fracture of composite structures. Riga, 1986, pp. 263 (in Russian).
V.Tamuzs (with coauthors). Orientational Averaging in Mechanics of Solids. Riga, 1989, pp. 190 (in
Russian, English translation by Longman Publ. 1992).
Some relevant selected papers:
Andersons J., Mikelsons J., Limonov V., Tamuzs V. "Fatigue of laminated composites under complex
cyclic loading". Proc. ICCM-9, vol. V, Madrid, 1993, pp. 763-768.
Tamuzs V., Beilin V., Joffe R., Valdmanis V. "Multicracking of brittle laminates". Mechanics of Composite
Materials, 1994, vol. 30, N 6, pp. 529-539.
Tamuzs V. "Fracture and damage of nonhomogeneous solids". In Theoretical and Applied Mechanics, 1996
(Proc. IUTAM XIX Int. Congress of Theoretical and Applied Mechanics), pp. 239-252.
Tamuzs et al. "Creep and damage accumulation in orthotropic composites under cyclic loading". Mechanics
of Composite Materials, 1998, vol. 34, N 4, pp. 447-460.
CURRICULUM VITAE
Boriss Zapols
Name Surname:
Boriss Zapols
Identification No:
040341-10119
Date and place of birth:
1941, Riga, LATVIA
Address:
Mailing address: University of Latvia, 19 Rainis Blvd, Riga LV-1586, LATVIA;
FAX: +371-7820113; Visiting addresses: Institute of Chemical Physics,
University of Latvia, Kronvalda bulv. 4, 139. Room, tel. +371-7323306; Dept. of
Physics and mathematics, University of Latvia, Zeļļu ielā 8, tel. +371-7615718;
Education
1958-1964 - M.S.+B.S. studies, Dept. of Physics and Mathematics, the University
of Latvia.
1964-1967 - Ph.D. studies, the University of Latvia.
Pedagogic/ Scientific Qualifications:
1972 Candidate of Sciences in Physics and Mathematics, University of Latvia
1981 Docent, University of Latvia
1992 Doctor in physics, University of Latvia
1998 Doctor Habil. in physics, University of Latvia
1998 Leading Researcher, University of Latvia
Academic and Professional Experience and Administrative Positions
1967-1978 - Lecturer / Senior Lecturer, Department of Theoretical Physics,
University of Latvia.
1978 - at present - Docent, Dept. of Theoretical Physics, University of Latvia.
1989 - 1993 - Senior Researcher, Dept. of Chemical Physics of Condensed Matter,
University of Latvia.
1994 - at present - Leading Researcher, Institute of Chemical Physics, University of
Latvia.
1994 - 1997 - Deputy Director, Institute of Chemical Physics, University of Latvia.
1997 - at present - Director, Institute of Chemical Physics, University of Latvia.
Organization and Management Activities
1989 - at present, Member of Union of Latvian Scientists
1995 - 1998, President of Council, Institute of Chemical Physics, University of
Latvia.
1998 - at present, Member of Council, Institute of Chemical Physics, University of
Latvia.
1999 - at present, Member of Scientific Council, University of Latvia.
2000 - at present, Member of Promotion and Habilitation Council, University of
Latvia.
Publications: Total number of scientific and methodical publications - 85
Web site:
http://www.lu.lv/jauna/strukt/i_kimfiz.html
CURRICULUM
VITAE
Jānis Āboliņš
Born: Apr 16, 1932 Riga, Latvia
Residential address: 5 Jāņa Grestes Str., apt. 58
Mailing address: PO Box 543, Riga-50, LV-1050
e-mail: [email protected]
Education:
the Faculty of Physics of the University of St.Petersburg (Leningrad) 1958,
graduate studies in chemistry at the University of California (Berkeley) 1958/59
graduate course in physics at the University of St.Petersburg 1962
Degrees: Cand.Sc. of Physics and Mathematics 1983
Dr.Phys. 1992
Employment:
at the Faculty of Physics and Mathematics of the UL since 1962 as teaching assistant,
senior lecturer since 1964, docent since 1984, and research fellow of the Institute of
Atomic Physics and Spectroscopy since 1997.
Currently engaged in teaching and coordinating a new course of graduate studies – "Physics and
Technologies for Sustainable Development" initiated by the IAPS.
Teaching experience: lecture courses of "Quantum Chemistry", "Molecular
Spectroscopy", "Structure and Symmetry of Molecules", "Experimental Methods",
"Environmental and Social Impacts of Energy Consumption", "Interdisciplinary
Methods", and "Natural History".
Sabbatical and other studies:
Roskilde University, Denmark, 1994 – environmental education
Yosemite Institute, USA, 1994 – "International Seminar on Environmental Education"
University of California (Berkeley), 1995 – ecology
University of Bath, UK, 1997 – interdisciplinary studies
University of California (Berkeley), 1998 – distance education
University of California (Berkeley), 1999 – source studies for a course on sustainable
technologies.
Publications:
Text-book on structure of molecules (1970)
4 papers on spectroscopic studies of phase transitions in polyatomic ion crystals
(1976-1984)
CURRICULUM
VITAE
Name, Family name:
Andris Broks
Personal code:
120842-12703
Birth data:
August 12th , 1942, Valka, Latvia
Adresses: University of Latvia, Faculty of Physics and Mathematics,Zellu 8, Riga,
LV-1002
phone - 7615708, fax - 7820113,
e-mail: [email protected] (office);
Zentenes 12 - 21, Riga, LV-1069; phone - 2419898 (home)
Education
1960-65 Latvia State university, Faculty of physics and mathematics - higher education
in physics, qualification - solid state physics
1969-72
Latvia State university, doctor studies in solid state physics
Academic and scientific grades:
1974 Candidate of physics and mathematics sciences, solid state physics, Latvia State university
1981 Docent, Latvia State university (LSU)
1992 Docent, University of Latvia
1992 Doctor of Physics, University of Latvia (UL)
Work experience:
1966-69
Assistant, senior lecturer of the Faculty of physics and mathematics, LSU
1972-75
Junior, senior researcher of the Problem laboratory of Ferroelectrics and
piezoelectrics, LSU (dielectric spectroscopy of ferroelectrics)
1975-78
Senior lecturer, docent of the Faculty of physics and mathematics, LSU
1976-77
Visiting researcher in the Massachusetts Institute of Technology, USA
1978-82
Deputy dean of the Faculty of physics and mathematics,LSU
1982-92
Dean of the Faculty of physics and mathematics, LSU
1992 -99 Head of the Division of General Physics, Faculty of physics and mathematics, UL
2000-…. Docent of the Faculty of physics and mathematics, University of Latvia
1997-…. Researcher of the Institute for educational research, University of Latvia
1996-97 Advisor to the government of Latvia ( legislation reform in education)
1993-96 Senior expert of Ministry of Education and Science, Republic of Latvia
1990-96
Physics teacher of the Riga upper secondary school No.3
1991-96 Student exchange projects (Umea and Linkoping universities in Sweden)
1982-91
Member of the University Physics Methodology Council of USSR
1967-88
Student exchange with the universities in Praha, Rostock, Nish.
Participation in professional and public organizations:
 Deputy chairman of the Senate, University of Latvia (1994-98), senator (1998-..)
 President of Latvia Pupil’s research society (1980-96)
 Consulting board of the Ministry of Education and Science, Republic of Latvia
 Latvia Association of pedagogy researchers, Board of the journal “Teacher”
 Physics Society of Latvia ,Physics Teacher Society of Latvia
Publications: total number of research and pegagogical publications - 57
INTERNET information: http//www.gramata21.lv/users/broks_andris/
CURRICULUM VITAE
Leonīds Buligins
Name, surname
Leonīds Buligins
Person code
010657-11810
Date of Birth
June 1 1957
Address
FPM, Zellu str 8, phone 7 615712
Education
1975-1980 University of Latvia, Faculty of Physics and Mathematics, student
1982-1985 UL, PhD student
Qualification
1989 – Cand. of sciences in Physics and mathematics
1992 – Dr.phys. (E-D Nr 000169)
1992 – Docent of UL (LU-DOC Nr 0109)
Work experience
1980-1985, UL FPM assistant
1985-1988, UL Computing Center, senior researcher
1988-1992, UL FPM senior lecturer
UL FPM docent
1995 – UL Center of Computational Technology, director
2000 – Head of chair of Electrodynamics and Continuum mechanics
Participation in professional
Expert of Latvian Council of Science
and other organisations
Member of FPM Council
Deputy head of Hydrodynamics Section of Latvian National Committee of Mechanics
Member of UL Institute of Physics Council
Expert of Promotion Council in Physics
Publications
37
CURRICULUM VITAE
Name, surname:
Identification No.:
Date and place of birth:
Address:
Education:
Janis HARJA
210955 – 10639
September 21, 1955, distr. Aluksne, Latvia
University of Latvia, Institute of Solid State Physics,
8 Kengaraga Str., Riga, LV-1061, tel. 7260973,
[email protected]
1973-1978 - student at the Faculty of Physics and Mathematics, University
of Latvia
1981-1984 - Ph.D. studies, University of Latvia
Pedagogic/Scientific Qualification
1989 – Candidate of Sciences in Physics and Mathematics, University of
Latvia
1992 – Doctor in physics, University of Latvia
1998 – Docent, University of Latvia
Academic and Professional Experience:
1978-1981, 1984-1989 – technical worker at the Faculty of Physics and
Mathematics, University of Latvia
1989-1995 – assistant, lecturer, senior lecturer, Department of Experimental
Physics, University of Latvia
1996 – at present – Docent, Department of Experimental Physics, University of
Latvia
Organization and Management Activities:
Expert at the Latvian Council of Science
regular SPIE Member (the International Society for Optical Engineering)
Publications:
Total number of scientific and methodical publications - 27
Curriculum vitae
Name Surname
Identity No.:
Place of birth:
Address:
Work place:
Education:
Vladimirs Ivins
300147 - 11215
Riga, Latvia
Maskavas 258 / 5, apt. 54, Riga LV - 1063, phone 7188443
Faculty of Physics and Mathematics, University of Latvia, Zeļļu 8, room 334,
phone 7615718, e-mail: [email protected]
1988 Training Faculty, State University of Moscow
1979 - 1980 probationer at Physics Section, University of Rostock
1970 - 1973 Ph. D. studies at Faculty of Physics and Mathematics, Latvian State
University (LVU)
1965 - 1970 student at Faculty of Physics and Mathematics, LVU
Pedagogical and scientific qualification:
1970 Physicist (LVU diploma Ч Nr. 787972 )
1976 Candidate in physical and mathematical sciences (theoretical and mathematical
physics, diploma ФМ Nr.000331)
1984 Docent at Department of Theoretical Physics (certificate of docent ДЦ
Nr.074919)
1992 Dr. Phys. (diploma of University of Latvia (LU) C - D Nr. 001118 Riga
27.11.1992 )
1992 docent at LU (diploma of LU Docent LU-DOC Nr.0118 Riga 16.11.92)
Work experience:
1973 - 1976 technician at Department of Theoretical Physics, Faculty of Physics and
Mathematics, LVU
1977 - 1983 LVU senior reader at Department of General Physics, Faculty of Physics and
Mathematics
1983 - 1985 acting docent at Department of Theoretical Physics, Faculty of Physics and
Mathematics, LVU
1986 - 1992 docent at Department of Theoretical Physics, Faculty of Physics and
Mathematics, LVU
Since 1992 docent at University of Latvia
1991-1996 participating in grant of Department of Theoretical Physics “Phase transition theory of
inhomogeneous and disperse systems” (leader Prof. B. Rolovs), 1996-1998 - grant Nr.885 “Path integral
representation of quantum statistics in condensed matter” (leader doc. I. Madžulis), 1996 - 1999 joint
project with University of Rostock
Research activities is connected with theoretical investigation of phase transitions in condensed matter by
the methods of statistical physics. Bifurcation points and their branched solution of the first equation of
Bogoliubov-Green-Kirkwood-Ivon’s equilibrium condition are analysed in average field approximation.
The bifurcation points are interpreted as phase transition points, but branched solution are used for
investigations of thermodynamic properties of phase state of various systems.
Academic courses: physics (for students of mathematical section: 1977-1985), nuclear physics and
physics of elementary particles (1983-1990), quantum mechanics and quantum chemistry (for students of
chemical faculty: 1984-1989), quantum mechanics (1989), theory of condensed matter (1971-1978),
group theory (1975-2000), statistics of condensed state (1975-1995), quantum statistics (1983-1985,
1996-2000), introduction in group theory and tensor analysis (1996-1998), highest symmetry (1996),
symmetry principles in physics (1994-2000).
Participation in public associations: chairman of trade union at the Faculty of Physics and Mathematics
(since 1995), member of LU trade union committee.
Publications: monographs (1), papers in scientific journals and collected works (24), theses of
conferences (5), other scientific publications (3), textbooks (1), manuals (4)
23.10.2000
CURRICULUM VITAE
NAME, SURNAME:
ANDRIS JAKOVIČS
IDENTITY NUMBER:
120850-10708
BIRTH DATE AND PLACE:
AUGUST 12-TH, 1950, ALŪKSNE
ADDRESSES:
UNIVERSITY OF LATVIA (UL), FACULTY OF PHYSICS AND
MATHEMATICS (FPM), ZELLU STREET 8, RIGA, LV-1002, PHONE
NO. 7615711, 9155711, [email protected]
EDUCATION:
1968-1973, STUDENT OF LATVIAN STATE UNIVERSITY (LSU),
THE FACULTY FOR PHYSICS AND MATHEMATICS 
1975-1977, POST-GRADUATION STUDIES AT THE LSU
1990-1993, POST-DOCTORAL HABILITATION STUDIES AT THE
UL
PEDAGOGIC AND SCIENTIFIC QUALIFICATION:
1979, DOCTOR OF SCIENCE (USSR), THE MECHANIC OF FLUIDS
AND GASES;
1983,
ASSOCIATE
PROFESSOR
(DIPLOMA)
AT
THE
DEPARTMENT OF ELECTRODYNAMICS AND CONTINUUM
MECHANICS (DECM) OF LSU
1992, DOCTOR OF PHYSICS (DIPLOMA) 
WORK EXPERIENCE:
1973-1975, ASSISTANT AT LSU
1977-1981, ASSISTANT AND MAIN LECTURER
AT LSU
SINCE 1981, ASSOCIATE PROFESSOR AT LSU
AND UL
1995-1996, PROFESSOR IN THE INSTITUTE OF ELECTROHEAT OF
UNIVERSITY OF HANNOVER
SINCE 1995, HEAD OF LABORATORY FOR MATHEMATICAL
MODELLING OF ENVIRONMENTAL AND TECHNOLOGICAL
PROCESSES (LMMETP) OF UL 
MEMBERSHIP IN PROFESSIONAL, SOCIAL AND OTHER STRUCTURES:
MEMBER OF DOCTORATE COUNCIL OF LATVIAN SCIENCE COUNCIL
MEMBER OF UL FPM COUNCIL
MEMBER OF THE BOARD OF PHYSICS DEPARTMENT OF UL FPM
DIRECTOR OF CENTER FOR PROCESSES ANALYSIS AND RESEARCH, LTD.
PUBLICATIONS:
THE WHOLE NUMBER OF SCIENTIFIC, EDUCATIONAL AND
METHODOLOGICAL PUBLICATIONS IS ABOUT 140.
INFORMATION IN INTERNET: HTTP://WWW.MODLAB.LV
CURRICULUM VITAE
Name:
Ilmārs Madžulis
Personal code:
270854 - 12768
Place of birth:
Rīga, Latvija
Address:
Rīga, Hospitāļu 34-17, LV-1013., Phone 7377954
Office: Faculty of Physics and Mathematics, LU (University of Latvia), Zeļļu 8-34,
phone 7615718, e-mail: [email protected]
Education:
1977 – physics section, Faculty of Physics and Mathematics, LVU
(State University of Latvia)
1977-1980 – full time Ph.D. studies in department of theoretical physics, LVU
01.10.96- 01.10.98. – footed pre-habilitation vacation in LU
Pedagogical and scientific qualification:
1977 – higher education -"Physics" (LVU Diploma Ю Nr. 407963, 28.06.77)
1986 – candidate for sciences of physics and mathematics (solid state physics)
1992 - LU docent (diploma of LU docent LU-DOC Nr. 0129, 20.01.92)
1992 - Dr. Phys. (diploma of LU doctor C-D Nr. 00112, 27.11.92)
Working experience: 1980 - 1987 assistant in Department of Theoretical Physics
1987-1992 docent in LVU
since February, 1992 – elected as Docent of University of Latvia
Pedagogy. 1980 - 2000 lecturing of following courses in LU:
theory of condensed matter, quantum mechanics (for students of chemical faculty),
thermodynamics and statistical physics, physical kinetics, theoretical mechanics, optional
courses of natural sciences, theory of phase transitions, methods of theoretical physics, statistical
physics of Coulomb systems
Scientific experience:
 1991-1996 grant in Department of Theoretical Physics: "Theory of phase transitions
for inhomogeneous and disperse systems”, leader Prof. B. Rolovs.
 1996-2000 leader of grant Nr.885 "Quantum statistics for Coulomb systems in
condensed matter: representation of path integrals",
 1994-1996 participation in grant of Institute of Mathematics and Informatics
"Mathematical modelling of physical systems",- leader Dr. Math. J. Rimšāns,
 since 1994: collaboration with Institute for Electro-thermal Process Technique,
Hannover, participating in research project of enterprise ABB,
 1998-2000 participation in project financed by VW fond "Modelling of growth of
silicon crystals"- leader Dr. Phys. A. Muižnieks.
Publications: methodical materials - 2, in scientific journals - 48, monograph -1.
Interests of scientific research:
 use of functional integrals in study of Coulomb systems,
 phase transitions,
 diffusion of doping atoms in crystals and porous materials,
 application of diagram technique for many particle systems.
Curriculum vitae
Name
Person code
Birth place and date
Family
Address
Andris Muižnieks
010861-10643
Cesis, Latvia, 01.08.1961
Married, 2 daughters
Latvia University, Department of Physics
Zeļļu str. 8, phone 7615712,
e-mail: [email protected]
Education
1995.-1997: 2nd doctor degree theses studies at Latvia University
1985.-1988:Theses studies at Latvia University
1979.-1984: Studies at Department of Physics of Latvia University, diploma: physicist, lecturer
Scientific and pedagogical qualification
Dr.-Phys., Latvian Academy of Science, Latvia University, 1992.
Cand.phys.math.sci. (USSR scientific system), 1991.
Physicist, lecturer, diploma of Latvia University, 1984.
Docent at Latvia University, 1998.
Working experience
1984.-1985: engineer at Latvia University.
1985.-1988: theses student at Latvia University.
1988.-1995: lecturer at Chair of General Physics of Latvia University.
1995.-1997: 2nd doctor degree theses student at Latvia University.
1984.- today: scientific co-worker at various scientific budget and contract projects at Latvia University.
1991.- today: simultaneously to duties at Latvia University I’m working as scientific co-worker at
Institute for Electroheat at University of Hanover (each year several month).
1998 – today: docent at Latvia University, now at Chair for Electrodynamics and Continuum Mechanics.
Participation at professional, public and other organisations
1995.-1997: member of Foundation “Physics”.
Publications
About 60 scientific publications, mainly in international journals (Journal of Crystal Growth, IEEE
Transactions on Magnetics, Crystal Research Technology etc.) and proceedings of international
conferences.
Participation in international conferences (only most important are mentioned):
1990. IEEE, Toronto (Canada);
1992. IEEE, Los-Angeles (USA);
1995. COMPUMAG, Berlin (Germany);
1996. Modelling in Crystal Growth, Durbuy (Belgium);
1997. Electromagnetic Processing of Materials, Paris (France);
1998. 28. congress of German crystal growth society, Karlsruhe (Germany);
1998. International Induction Heating Seminar, Padua (Italy);
1999. International Colloquium, Modelling of Material Processing, Riga (Latvia);
2000. 3rd International Workshop on Modelling in Crystal Growth, New York (USA).
Scientific scholarships
1. Scholarship of the Conference of the German Science Academies, 6 months in 1994 at the Institute
for Electroheat, University of Hanover (Germany).
2. DAAD (Germany) scholarship, 2 months in 1995 at the Institute for Electroheat, University of
Hanover (Germany).
3. Scholarship of the Conference of the German Science Academies, 1 month in 1996 at the Institute for
Electroheat, University of Hanover (Germany).
4. Scholarship in the frame of one TEMPUS project, 1 month in 1996, University of Sheffield (Great
Britany), Department of Mechanical and Process Engineering.
Management of scientific projects
01.04.1998-30.09.2000: scientific project at Department of Physics (Latvia University), supported from
VW-foundation (Germany) in co-operation with the Institute for Electroheat, University of Hanover
(Germany). Theme: 3D analyses of FZ silicon crystal growth.
01.01.1999-31.12.2001 (planned): scientific project (grant) at Department of Physics (Latvia University),
supported from Latvian Sciences Council. Theme: microscopic instabilities of silicon crystal growth.
Languages
Latvian, German, English, Russian.
CURRICULUM VITAE
JURIS OZOLS
First name, Family name:
ID:
Born:
Adress:
Education:
Degrees:
JURIS OZOLS
111047-11805
October 11,1947, Rīga, Latvija
Faculty of Physics and Mathematics, University of Latvia
Zeļļu iela 8, Rīga, LV-1002, Latvija; tel. 7-615712
Physicist. 1966-1971 University of Latvia, Faculty of Physics and
Mathematics, student
1998 Docent
1994 Dr.Phys.
1993 MSc Phys.
Employment: 1998- Faculty of Physics and Mathematics, University of Latvia, docent
1994- Institute of Astronomy, University of Latvia, researcher, senior researcher
1991-1994 Faculty of Physics and Mathematics, University of Latvia, senior
researcher
1988-1993 Faculty of Physics and Mathematics, University of Latvia, senior
lecturer
1971-1989 Faculty of Physics and Mathematics, University of Latvia, laboratory
assistant, senior engineer, head of laboratory, researcher
Professional organizations:
Latvian National Metrology centre, member of technical committee "Legal
metrology"
Publications Total amount of scientific and educational publications -18
Curriculum Vitae
Valdis RĒvalds
Name
Valdis Revalds
Persons code
051030-10301
Date and place of birth
October 05,1930, Dzirciems
Address:
Department of Physics, University of Latvia,
19 Rainis boulevard, Riga, LV – 1586, LATVIA,
phone –7615707
Education:
1950-1955 Department of Physics, University of Latvia
1959-1962 graduate course in physics at the University of St.Peterburg (Leningrad)
Pedagogic and scientific qualification:
1965 Cand. Sc. of Physics and Mathematics
1974
Docent at the Faculty of Physics and Mathematics
1992 Dr. phys.
1993 Docent Emeritus
Working Experience:
1955 – 1959
Laboratory assistant at the Faculty of Physics and Mathematics,
University of Latvia
1962-1968
Lecturer / Senior Lecturer at the Faculty of Physics and Mathematics,
University of Latvia.
1969 - at present Docent, , at the Faculty of Physics and Mathematics, University of Latvia.
Publications:
Total number of scientific and methodical publications - 105
Curriculum Vitae
Name:
Date of Birth:
Identity No:
Nationality:
1961-1969
1972
1975
1989
1993
TOMASS ROMANOVSKIS
March 7, 1944
070344-10510
polish
Education
student ; Faculty for physics and mathematics, Latvia University
Posgraduate studies at Moscow University
postdoctor studies at Charles University in Prague (Czech Republic)
research studies at University Rostock (Germany)
research studies at Technical University in Barcelona (Spain)
Academic degrees:
1973
Dr. Sc. in physics and mathematics, Tartu University
1978
Docent, according to the decision of the State Educational Committee of the
USSR
1994
Dr. phys., nostrification of Dr. Sc. degree of year 1973 at Latvia University
1995
Docent, Latvia university
Employment:
1978.-1986 Docent, Division of experimental physics, Latvia University
1986-1997
Professor,
1997Docent,
Academic publications: approx. 100
Research:
solid state physics, computer applications in physics teaching
Teaching:
Theoretical mechanics, Nonlinear phenomena and selforganization,
Physics didactic, Computer based laboratory, Physics for medicine
Social activities: member of GIREP (Groupe International de recherche sur l’Enseignement de
la Physique), member of American association of physics teachers, editorial board member of
“Educational studies in mathematics” (an international journal) and “Starry sky” (Latvia)
Award:
Man of the year – 1999 (American Biographical Institute).
Curriculum Vitae
Personal details
Name
Date of birth
Address
Nationality
Marital status
Children
Language fluency
Education
1960 - 1968
1968 - 197l
1971 - 1978
1983 - 1986
Qualifications
1993
Pedagogical work 1978-1981
since 1986
Research work
since 1973
since 1988
since 1993
since 1996
Research subjects
Theses, Dr, Phys.
1993
Construction business 1993
management
1997
Research activities 1993-1997
1997
Laimdota SNIDERE
June 2, 1953
5 Kr.Barona Street, apt 34, Jelgava LV-3001, Latvia
Latvian
divorced
one daughter
Russian - fluently
German, English - knowledgeable
basic school of Pilsrundale
mathematics high-school in Riga at the University of Latvia
University of Latvia (UL), Faculty of Physics and Mathematics
post-graduate studies at the UL
Dr. PhDs (Latvia)
teaching assistant at the Latvian Academy of Agriculture
senior lecturer at the University of Latvia (Departments of Higher
Mathematics, and Department of Theoretical Physics), of the
courses of physics, mathematics, numerical variation methods, heat
transfer, thermodynamics and statistical physics
laboratory assistant, engineer, researcher, leading researcher
leading researcher at the University of Latvia in mathematical
modelling of heat transfer in electronic equipment
leading researcher in modelling and measurement of heat transfer
processes in buildings
head of the Laboratory of Applied Thermophysics at the Faculty of
Physics and Mathematics of UL
mathematical modelling and experimental measurement of heat
transfer processes at the MHD and electronic equipment and
structure elements of buildings
"Mathematical modelling of heat transfer processes in the MHD
machines" has been defended in as Doctor of Physics
Chairmanship of the apartment building society "Augstskola" of the
University of Latvia. Since 1994 construction of three buildings of
total apartment area 19,000 m2 (280 apartments) has been
completed with total value of Ls 2,000,000.
Director of "Augstskola Plus" Ltd. Which is planning construction
of 100-apartment building in 2 Neretas St. of value Ls 800,0001,000,000 (1,3-1,6 million ECU).
"Study of heat transfer processes in the 119 series standard
apartment buildings, methods of insulation and optimisation of
heating".finances by the Academy of Sciences of Latvia.
Member of the Co-ordinators Board of the national research
programme (#6): "Optimisation of heat production and
consumption in Latvia".
Curriculum vitae
Youris
Zhagars
Dr.hab.phys.
Docent
Employed by:
Fac. of physics & math.
University of Latvia
tel. 944.17.37
Domicile:
LV-1001 Riga
Hanzas str. 4-24
Birth: Riga, 09.02.1949
Graduated: 1973, Moscow State university in astronomy
Speeks 4 languages: Latvian, English, French and Russian
About 51 scientific papers, 3 patents,
1979, these "Prediction of artifical satellites motion" in Moscow universities Sternberg
Astronomical institute for the sc. candidate degree (Ph.D.) in physics and mathematics. In 1988
certificated as senior researcher in astronomy. In 1993 certificated as Dr.phys of the University
of Latvia. 1999, these “Visible motion of satellites” in University of Latvia for degree
Dr.habil.phys. From 1967 was employed by Astronomical observatory, Faculty of physics and
mathemathics and Museum of history of space research (F.Tsanders museum) of the University
of Latvia. From 2000 is also vice-rector of Ventspils College. The scientific interests are
connected with Geophysics and Dynamics and kynematics of the artificial Earth satellites
motion, leaded to the new theory of the satellites visible motion. Y.Zhagars is a member
of the International Astronomical union (IAU), European Astronomical Society (EAS) and
European Geophysical Society (EGS). He was the sc. consultant for several theses, is lecturing
in Astronomy, Space Information Technologies and Basics of GPS in the Physics department of
the University of Latvia.
Recent / Representative Publications
1. Zhagars Y., Zarinsh A., Ekstremalnije zadachi sblizhenija ISZ i nabljudatelja (in russian),
sbornik Navigacionnaja privjazka i statisticheskaja obrabotka kosmicheskoi informacii,
M.Nauka,
1983.
2. ZhagarsY., Zarinsh A. Chisslennije issledovanija vidimogo dvizhenija ISZ (in russian), sbornik
Navigacionnaja privjazka i statisticheskaja obrabotka kosmicheskoi informacii, M.Nauka, 1983.
3. Abele M., Zhagars Y., et.al. Anlage fur das Aufspuren von Himmelskorpen, Wirtschaftspatent
Deuchland, DD273.953.A3, B.1989.
4. Abele M., Zhagars Y., et.al. Lazerna komputerna lokacionna sistema za izmervane na
razstojanija do spetnici na Zemljata, Bulgarian patent # 47620, Sofia, 1993.
5. Zhagar Y., Paunonen M., Pavenis A., Gedrovics V. The first approach of the mecanical
accuracy for LS-105 SLR telescope in Metsahovi (Finland), Acta Universitatis Latviensis
v.600, astronomy 20, Satellite laser ranging, Riga, 1995.
6. Stoykov A., Zhagars Y., Abele M., Laposhka V. Second Riga SLR telescope ULIS - start of
measuring, Acta Universitatis Latviensis v.600, astronomy 20, Satellite laser ranging, Riga,
1995.
7. Stoykov A., Zhagars Y., Dimitrova M. Method of determination of "alt-alt" mount's
parameters for telescopes in the vertical reference frame, Acta Universitatis Latviensis v.600,
astronomy 20, Satellite laser ranging, Riga, 1995.
8. Zhagars Y. F.Tsanders and space flight dynamics, Theses Historiae Scientiarium Baltica,
Riga, 1996.
9. Zhagars Y., Kaminskis J. The new geodynamic site in Latvia LV-04 (Irbene) - converted
russian ex-military object, Annales Geophysicae vol.16, s.1, part 1, 1998.
10. Zhagars Y., Kaminskis J., Salmins K. Different geoid solutions in Latvia and vertical
geodetic network, Book of extended abstracts of WEGENER's 9-th Gen. Assambl. Honefoss,
Staten Kartverk, Oslo, 1998.
11. Zhagars Y., Kaminskis J. Irbene (LV-04) jauns geodinamiskais poligons Latvija, Latvian
Journal of Physics and Technical Science, No.6, 1998.
12. Zhagars Y. Use of space technologies for transport organization, Reports of workshop
"Research and Developement in the Modern Transportation Technology" of 4-th Internat. Conf.
"Baltic Transit Gateway", Riga, 1999.
13. Zhagars Y., Kaminskis J. Latvia local geoid on aprobation, Geophysical Research Abstracts,
vol.2, 2000, ISSN:1028-7006.
14. Zhagars Y., Kaminskis J. First results of the geodynamic station IRBENE (Latvia),
Geophysical Research Abstracts, vol.2, 2000,ISSN:1028-7006.
CURRICULUM VITAE
PERSONAL DETAILS
Surname, Name:
Address:
Telephone:
e-mail:
Date and place of birth:
EDUCATION
Nov. 1996 - July 1999
Nov. 1993 - July 1999
Sept. 1986 - July 1993
WORK EXPERIENCE
Oct. 1999 May 1998 - Oct. 1999
Feb. 15 - May 14, 1996
Feb. 27 - May 26, 1995
Nov. 1989 - July 1990
IVARS DRIĶIS
3 side str. of Ciekurkalns 26-8 Riga,
LV-1026, Latvia
371-7- 368289
[email protected]
March 1, 1968, Cesvaine, Latvia
University of Paris 7, Dr. Phys. (fluid mechanics)
University of Latvia, PhD studies
University of Latvia,
Physicist (mathematical modeling of physical processes)
University of Latvia, department of Physics, lecturer
Institute of Physics, University of Latvia, assistant
TEMPUS program S_JEP-07923-94, study visit in National
Technical University of Athens, Greece
Institute of Solid State Physics University of Latvia, Laboratory
assistant
SKILLS
Latvian, fluent in Russian, good English
Basic knowledge in German and French
Programming languages
UNIX
Program packages
COMPUTER EXPERIENCE
C , C++ , Perl, FORTRAN, Java
SGI, Linux
Wolfram Mathematica, Matlab, Corel Draw, LaTeX
SCIENTIFIC INTERESTS
Pattern formation phenomena in systems with long-range
interaction
Massive Parallel Computing
Curriculum Vitae
First name, surname:
Identity number:
Date and place of birth:
Addresses:
Sandris Lācis
200162-12701
20 january 1962, Pļaviņas
University of Latvia, Faculty of Physics and mathematics,
Zeļļu str. 8, phone. 7615712;
e-mail: [email protected]
Education:
1980-1985 Latvian State University, Faculty of Physics and mathematics, studies
1988-1991 Latvian State University, Faculty of Physics and mathematics, PhD studies
1992-1995 7th Paris University, AOMC laboratory, these en cotutel
Pedagogic and scientific qualification:
1995 LU master degree in physics
1996 Doctor degree of 7th Paris University in physics of fluids
1996 Doctor degree in physics of Latvian Academy of Sciences,
Working experience:
1985-1988 Latvian State University, Faculty of Physics and mathematics, egineer
1988-1991 Latvian State University, Faculty of Physics and mathematics, junior research
assistant
1991-1999 University of Latvia, Faculty of Physics and mathematics, lecturer, assistant
1999- University of Latvia, Faculty of Physics and mathematics, lecturer
Professional and other organizations:
Member of HYDROMAG.
Publications: Total number of scientific and methodic publications – 22.
Curriculum vitae
of Mihails Belovs.
Personal identification code:
200350-11833.
Born:
March 20, 1950, in Russia.
Education:
1973-1976 Post graduate student in the University of Latvia, Faculty of Physics and
Mathematics.
1967-1972
Student in the University of Latvia, Faculty of Physics and Mathematics
Scientific qualification:
1992
Dozent of the University of Latvia (diploma LU-DOC 0103, issued in Riga)
1992
Doctor of Mathematics (diploma C-D 000043, issued in Riga)
1986
Dozent the Department of Common Mathematics of the University of Latvia
(certificate ДЦ 089885 issued in Moscow)
1979
Candidate of Physical and Mathematical sciences (diploma ФМ008040, issued
in Moscow)
Work experience:
1972-1973 Senior assistant at the Faculty of Physics and Mathematics of the University of
Latvia.
1976-1977 Junior scientific associate at the Faculty of Physics and Mathematics of the
University of Latvia.
1977-1982 Senior lectures at the Faculty of Physics and Mathematics of the University of
Latvia.
Since 1982 Dozent of the Department of Common Mathematics at the Faculty of Physics
and Mathematics of the university of Latvia.
Scientific publication:
Monographic
Articles in scientific journals and
collections
Education materials
1
33
7
Scientific research direction:
Application of asymptotic methods in mathematical physics
Academic courses:
Since 1977 Analytical Geometry and Linear Algebra
Calculus
Methods of Mathematical Physics
Special courses:
Since 1997 Methods of Approximation in Physics.
DZINTRAS DAMBERGAS
CURRICULUM VITAE
Date of birth: 1943.
Education:
1961. - 1966. Latvia State University, Faculty of Physics and mathematics, student;
1974. - 1977. Latvia State University Tuition by correspondence post graduate course in
methods of teaching mathematics.
1993.Obtained Master of science grade in mathematics.
Occupation:
1965.-1966. Laboratory assistant in Latvia State university center of computers.
1966.-1969. Assistant in Latvia State university. Comprehensive mathematics
department.
Since 1969. Senior lecturer in Latvia State University comprehensive mathematics
department.
Scientific publications (number):
Articles in scientific magazines and symposiums
4
Abstracts (conference thesis)
6
Education literature publicized :
Teaching aids
2
Subject programmes
2
Research works:
Methodics of teaching mathematics subject.
Academic courses:
Highest mathematics in different periods of time for biology, chemistry professions.
Mathematical analysis, differential equations, complex variable functions theory for students of
physics profession.
Possibilities of teaching process optimization for mathematics profession students;.
Organization and management of teaching practice.
CURRICULUM VITAE
Name Surname: Ojars Judrups
Identification No: 250943-11820
Date & place of birth: Riga, September 25, 1943
Address: University of Latvia, Zellu St. 8, LV-1002, Phone: (+371) 7601581, FAX: (+371) 7601581, email: [email protected]
Education: 1965-1970 student of Faculty of Physics and Mathematics, University of Latvia
1973-1976 Ph.D. student at Institute of Physics, Latvian Academy of Sciences
Pedagogic/Scientific Qualifications:
1980 Candidate of Sciences, University of Byelorussia, Byelorussia
1986 Docent of Faculty of Physics and Mathematics, University of Latvia
1992 Doctor of Mathematics, University of Latvia
Academic Positions:
1969-1973, 1976-1977 Junior researcher at Institute of Physics, Latvian Academy of Sciences
1977-1982 Lecturer at Faculty of Physics and Mathematics, University of Latvia
Since 1982 Docent at Faculty of Physics and Mathematics, University of Latvia
1991-1993 Vice dean of Faculty of Physics and Mathematics, University of Latvia
Since 1991 Researcher at Institute of Mathematics of University of Latvia and Latvian Academy
of Sciences
Since 1993 Dean of Faculty of Physics and Mathematics, University of Latvia
Organisation and Management:
1983-1991 Leader of Tread-union of Faculty of Physics and Mathematics, University of Latvia
Since 1995 Senator at University of Latvia
Since 1995 Leader of Senate’s Commission of Finance and budget
Publications: Total number of publications: 59.
Curriculum Vitae
First name, last name:
Citizenship, nationality:
Identity number:
Ojārs Lietuvietis
Latvian, Latvian
230445-12764
Education:
1963-1968. Latvian State University, Department of Physics
and Mathematics, student
1975-1978. Latvian State University, post-graduate student
Academic Titles and Scientific Degrees:
1987. - Candidate of Physics and Mathematics Sciences,
sub-branch Differential and Mathematical Physics
Equations
1992. - Doctor in Mathematics
1996. - Docent of the Latvian University
Employment:
1967.-1990. Computing center of Latvian State university,
laboratory assistant, junior research assistant,
mathematic - programmer, senior engineer
mathematic - programmer, senior scietific
collaborator
since 1990. University of Latvia , Faculty of Physics and
Mathematics, docent
Scientific Publications:
Research papers
21
Thesis
11
Other
1
Published teaching literature:
Textbooks
1
Research areas:
Differential equations and numerical analysis.
Academic Courses:
Differential equations (since 1990)
Elements of functional analysis (since 1991)
Numerical methods with computers (since 1998)
Methods of complex functions (since 1999)
Languages:
Latvian, Russian and English.
Curriculum Vitae
of Jānis Smotrovs
Personal identification code: 231147-10724
Born: November 23, 1947, in Okte, Talsi district.
Home address: Lielvārdes iela 121-59, Rīga, LV-1084. Phone: 7549322.
Work address: Faculty of Physics and Mathematics of the University of Latvia, Zeļļu iela 8, Rīga.
Phone: 7615353. E-mail: [email protected] .
Education: highest (Mag. math.).
1965-1970
studies at the University of Latvia, Faculty of Physics and Mathematics
1975-1978
post graduate studies at the University of Latvia, specialization “Differential and integral
equations”, passed the candidate minimum examinations in philosophy and German
language, and preexaminations of post graduate studies in the speciality
1986-1987
graduated the Faculty of Raising Qualification of the Moscow State University,
specialization mathematics
Pedagogical and scientific qualification:
since 1993
Master of Mathematics (Mag. math.);
1987
a certificate of graduating the Faculty of Raising Qualification of the Moscow State
University, with specialization in mathematics and of finishing courses in informatics;
1970
graduated the Faculty of Physics and Mathematics of the Latvia State University, with
specialization in physics.
Work experience:
1972-1975
engineer, later junior scientific associate at the Department of Electrodynamics of the
University of Latvia
1975-1978
post graduate student at the Department of General Mathematics of the University of
Latvia
1978-1992
senior engineer, assistant, senior tutor at the Department of General Mathematics of the
University of Latvia
since 1991
research assistant at the Institute of Mathematics
since 1992
lecturer at the Department of General Mathematics of the University of Latvia
Scientific publications:
Articles in scientific journals and collections
9
Education materials
6
Other publications
2
Scientific research direction:
Application of asymptotic methods to the inversion of integral Fourier transforms.
Academical courses:
1978-1983
Theory of Probability and Mathematical Statistics
1978-1991
Higher Mathematics
1980-1981
Mathematical Analysis
1981-1982
Vector and Tensor Analysis
1987-1991
Mathematical Analysis
1990-1991
Differential Equations
since 1991
Selected areas of Mathematics (Mathematics for students of Biology)
since 1993
Methods of Mathematical Statistics and Factor Analysis