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Syllabus
Quantum Mechanics 4304.01-SPRING 2015
UT-Pan American
Department of Physics and Geology
Syllabus
Course
:
Quantum Mechanics II - 22707 - PHYS 4304 - 01
Lectures
:
Physical Science 1.103, T & R (13:10-14:25)
Instructor
:
Mircea Chipara
Contact Information:
Cell 956 605-5123
E-mail:
[email protected],
[email protected]
Office Location:
Science Building Room 3.126,
Laboratory Location:
Physics and Geology Department, room 1.156
Office Hours:
M and W 10:30-12:00 (Laboratory)
T: 14:30-16:00 (Laboratory)
Text:
L. Pauling and E. B. Wilson: Introduction to Quantum Mechanics
and PowerPoint files
Prerequisites:
Prerequisites: Mandatory: Calculus 1 (graded),
Preferred Calculus 1 and 2.
Course Description:
This is the second part of an introductorily course in Quantum Mechanics This course
teaches students about the main principles and results of non-relativistic quantum
mechanics, provides rudiments of quantum mechanics, and discuss extensively simple
applications.
Who should take this class?
This class is specifically opened as a core course for Physics majors. However, if you are
intending to apply for a master or PhD program in Chemistry or Engineering (mostly
materials science and engineering departments) please check if an undergraduate class in
quantum mechanics is not required by the University/department where you are intending
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to apply. If this is the case, in order to avoid a remedial course, you are encouraged to
take this class. Some graduate departments (such as chemistry and mechanical
engineering/materials science and engineering) have quantum mechanics included in the
topic for the qualifying exam. If this is the case, this course will help you understanding
the basics of quantum mechanics and I do encourage you to enroll.
Typically, the class requires at least Calculus 1 and 2, and will include differential
equations. Calculus 1 is a mandatory requirement. Nevertheless, most relevant
differential equations will be discussed and solved up to the least detail, so calculus 2 is a
recommended requirement.
Course Objectives:
The most important course objectives are:
1. Student should understand properly the concepts, principles of quantum mechanics,
with emphasize on the significance and interpretation of the wave function, of the
uncertainty principle, of time dependent and time independent phenomena.
2. Student should demonstrate a proper understanding of the concepts, principles, and
ideas introduced and the capability to solve simple quantum mechanical problems.
3. Student should understand the principles of quantum mechanics and the main
applications of quantum mechanics in physics, chemistry, and nanoscience.
4. Students should develop logical thinking, essential in a proper understanding of
physical phenomena and their interpretation.
Student Learning Outcomes (SLOs) for Natural Science Core Curriculum Courses:
1. To understand and apply methods and appropriate theoretical methods to the study of
quantum phenomena and processes.
2. To recognize scientific (both qualitative or phenomenological and quantitative)
methods and the differences between these approaches and other methods of inquiry and
to communicate findings, analyses, and interpretation both orally and in writing.
3. To identify and recognize the differences among competing scientific theories.
4. To demonstrate knowledge of the major issues and problems facing modern science,
including issues that touch upon ethics, values, and public policies.
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5. To demonstrate knowledge of the interdependence of science and technology and their
influence on/contribution to modern culture.
Grading: The course grade will be determined from
Final exam ……………………………………………………………………..30 %
Three best out of four exams…………………………………………..……….30 %
Quizzes and homework ……………………….………………………………..30 %
Attendance + Additional Projects…………………………………….………....5+5 %
There is no curve on exams unless the highest grade is less than 90.
Assignments (home works and quizzes) will be curved if the highest grade is less than 90.
90-100
A
76-90
B
60-75
C
50-60
D
Less than 50
F
Final Exam:
All students will take the final exam.
The final exam will cover material from lectures, readings, home works, and quizzes.
No make-up exam will be given.
Exams:
Four exams will be given at the end of each important part of the textbook.
These exams are scheduled on Thursday .
No make-up exam will be given.
The solutions of some GRE tests may be included in tests and will be discussed in detail
in the class after at least 2 weeks.
Final exam is scheduled on May 14th between 10:15 and 12:00.
Quizzes and homework:
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Assignments will consist mainly (more than 50 %) of problems from the textbook,
lecture, GRE tests, and handouts. All tests are scheduled on Thursday.
10 points will be deducted for assignments turned in late and accepted solely if the
solutions were not discussed in class. Assignments later than 2 weeks are not accepted.
Materials to bring:
Please bring the following to class: text book, homework and class notes, pencil, and
paper. Reading textbook is required before and after classes.
Class Schedule T & R (13:10-14:25)
ADA STATEMENT:
If you have a documented disability that will make it difficult for you to carry out the
work, as outlined, and/or if you need special accommodations/assistance due to the
disability, please contact Emia Ramirez, the Office of Services for Persons with
Disabilities
(OSPD),
Schunior
Hall
Room
1.101
immediately.
Appropriate
arrangements/accommodations can be arranged.
Attendance:
Late assignments will not be accepted under any circumstances.
Attendance Policy: Since the course is fast-paced, attendance is mandatory. After 3rd
absence (excused or unexcused does not matter), you will receive a "DF" unless
otherwise approved by the instructor. In case of an absence, the student is responsible for
the learning experience and missing assignments made during his/her absence. At the end
of the semester the students with good attendance may receive an extra credit (5% see the
grading).
Drop:
Dropping this course is discouraged. Do not drop unless you have talked to a Counselor
first. To drop students need to request in person to the instructor. All drops will be based
upon your status at the time of the request.
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Expectations:
1. Each student is responsible for his/her conduct (attendance, participation to classes and
tests, and interaction).
2. Reading the pages, book chapter that will be discussed in the lecture class from the
assigned textbook, is MANDATORY.
Approximate Schedule
Week
1
2
3
4
5
6
7
8
9
10
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Chapter
Brief Review of the First Semester
Quantum Mechanics Postulates
QUIZZ 1
Formal Quantum Mechanics.
Hilbert Space. Wave Function. Operators. Commutativity.
Eigenvalues and eigenvectors. Hermiticity
Continuity Equation. Ehrenfest theorem
Heisenberg principles
Particles in imaginary/complex potentials.
Decay
EXAM I .
The one-dimensional harmonic oscillator
Creation and Annihilation operators.
Two dimensional harmonic oscillators
Homework 1
Three-dimensional harmonic oscillators
. Molecular vibrations.
Constant sectional potentials in 2 dimensions.
The rigid rotator.
Rotation spectra
EXAM 2 .
The Angular Momentum.
The hydrogen atom
The hydrogen atom.
The empiric spin hypothesis
QUIZZ 2
The Periodic Table.
Angular and intrinsic (spin) momenta.
Identical particles. Pauli Principles.
Hundt’s rules and quantum mechanics
Chemical bonds. Bonding and antibonding orbitals
EXAM 3
5
12
13
14
15
16
Time independent perturbation theory
Examples
Time dependent perturbation theory
EXAM 4
Quantum Scattering
QUIZZ 3
Relativistic Quantum Mechanics: Dirac Equation
Final review
FINAL EXAM
Students are required to complete an ONLINE evaluation of this course. The evaluation
window closes at 11:59 pm on May 6th, the last day of spring classes. Students who
complete their evaluations by May 6th will have priority access to their grades.
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CLASS SCHEDULE: SPRING 2015:
Dr. Mircea Chipara OFFICE: Science Building room 3:126
E-Mail:[email protected]; [email protected]
Laboratory: Physics and Geology Department, room 1.156. Cell Phone 956 605 5123
DAY
TIME
MONDAY
TUESDAY
WEDNESDAY
THURSDAY
7:45
8:00
8:30
9:00
9:30
10:00
10:30
10:45
10:50
11:00
11:30
OFFICE
OFFICE
HOURS
(LAB)
HOURS
(LAB)
11:45
12:00
13:10
13:30
14:00
14:25
14:45
15:00
15:45
16:00
Intro Solid State
Physic - 26515 PHYS 3307–01
Academic
Services 1.104
Quantum
Mechanics II 22707 - PHYS
4304 – 01
Physical Science
1.103
Intro Solid State
Physic - 26515 PHYS 3307–01
Academic
Services 1.104
OFFICE
HOURS
(LAB)
16:45
17:00
17:15
18:00
19:00
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Quantum
Mechanics II 22707 - PHYS
4304 – 01
Physical Science
1.103
FRIDAY
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