DISTANCE EDUCATION
M.Sc. (Physics) DEGREE EXAMINATION, MAY 2018.
QUANTUM MECHANICS
(2008 onwards)
Time Three hours Maximum 100 marks
Answer any FIVE questions.
Each questions carries 20 marks.
x 20 100)
1. Explain the postulates of quantum mechanics.
Obtain the solution of time dependent Schrodinger
equation.
Explain the tunnel effect in rectangular potential
barrier. Derive the expressions for reflection
coefficient and transmission coefficient.
2. State and explain uncertainty principle.
Show that an electron cannot be contained inside a
nucleus using the uncertainty principle.
Explain Heisenberg's uncertainty principle
experimentally using diffraction of waves at a single
slit.
4. Describe WKB method for the solution of
Schrondinger equation in a potential field.
What is the drawback of WKB method? Derive the
connection formula.
Obtain the quantisation condition for a bound state
using WKB method.
5. What is meant by Hermitian operator? Show that
Hermitian operators have real Eigen values.
Discuss about Dirac bra and Ket notations.
Discuss the first order perturbation theory.
6. Derive the Fermi-Golden rule for the transition rate
from a given initial state to a final state of
continuous.
Discuss the application of time dependent
perturbation theory to semi classical theory of
radiation.
Explain spontaneous emission of radiation.
7. Explain the method of partial wave analysis to
calculate phase shifts and scattering amplitude.
State and explain optical theorem.
Explain diffusion theory of scattering.
8. Explain angular momentum of system of particles
and the conservation theorem.
Derive the communication relations of total angular
momentum with its components.
Obtain the Eigen values of J2 and Jz .