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Transcript
FORMAT FOR COURSE CURRICULUM
Course Title: Basic Quantum Mechanics
Course Code :
Credit Units:3
L
T
P/S
SW/FW
3
-
-
-
Course Objectives:
This course will provide the knowledge of wave function and Schrodinger wave equation.
Students will apply the Schrodinger equation to find
out eigen function and eigen values of different bound systems.
Pre-requisites: Knowledge of basic intermediate physics
Student Learning Outcomes:




The student will able to describe the basic concept of wave function , operators, eigen
functions and eigen values..
Analyse the properties of different operators and commutation relation of different
operators.
Apply Schrodinger equation to find out eigen function and eigen values of different
bound particle system.
Apply basic quantum theory to find transmission and reflection of potential barrier and
potential well
Course Contents/Syllabus:
Weightage (%)
Module I: Introduction to Quantum phenomenon
Failure of Classical Physics: Blackbody radiation, Photoelectric effect,
Compton Effect, Frank-Hertz experiment, Wave nature of matter: DeBroglie relation, Davisson and Germer's experiment, Heisenberg
Uncertainty Principle, Wave description of Particles by Wave Packets.
Group and Phase Velocities and Relation between them. Two Slit
Experiment with Electrons. Probability. Wave Amplitude and Wave
Functions. Heisenberg’s Uncertainty Principle,
30
TOTAL
CREDIT
UNITS
3
Module II: Schrodinger equation and expectation values
30
Wave function, orthogonality and normalisation, features of a wellbehaved wave functions, Interpretation of Wave Function. Probability
Density and Probability, operators: energy and momentum operators,
Time-independent Schrödinger equation, eigenvalues, eigenfunctions,
Module III: Applications of Schrödinger Wave Equation
40
General features of bound and unbound states; Symmetric potentials and
parity: Nondegenerate spectrum, degenerate spectrum, Free particle:
continuous states, Infinite square-well potential (Particle in a rigid box
problem): energy eigenvalues, eigenfunctions, momentum and position
expectation values, zero-point energy, Scattering and bound state
solutions of : (a) Step potential: reflectance and transmittance, probability
current and its conservation, (b) Potential barrier: transmission coefficient,
tunnel effect
Pedagogy for Course Delivery:
The class will be taught using theory based method. In addition to assigning the assignments and
class test, the course instructor will spend
considerable time in understanding the concept of innovation. The instructor will cover the ways
to think innovatively liberally using thinking
techniques.
Assessment/ Examination Scheme:
Theory L/T (%)
Lab/Practical/Studio (%)
100
NA
End Term Examination
100
Theory Assessment (L&T):
Continuous Assessment/Internal Assessment
Components (Drop
down)
CT
Weightage (%)
10
HA
S/V/Q
End Term
Examination
ATTD
EE
7
8
5
70
Text & References:
 Nouredine Zettili, Quantum Mechanics: Concepts and Applications,(JohnWiley,Chichester, 2001).
 L. I. Schiff, Quantum Mechanics, 3rd Edition, (McGraw Hill Book Co., New York 1968).
 E. Merzbacher, Quantum Mechanics, 3rd Edition, (John Wiley & Sons, Inc1997)
 J.L. Powell & B. Crasemann, Quantum Mechanics, (Addison-Wesley Pubs.Co.,1965)
 Ghatak & S. Lokanathan, Quantum Mechanics: Theory and Applications, 5th Edition,
(Macmillan India, 2004)
 Arno Bohm, Quantum Mechanics: Foundations and Applications, 3rd Edition (New York:
Springer -Verlag, 2003).
 Quantum Mechanics by V. Devanathan. (Narosa Publishing House.)