DISTANCE EDUCATION
M.Sc. (Physics) DEGREE EXAMINATION, MAY 2017.
QUANTUM MECHANICS
(2008 onwards)
Time Three hours Maximum 100 marks
Answer any FIVE questions.
Each question carries 20 marks.
20 100)
1. Give an account of dual nature of matter and
radiation.
What is uncertainty principle? Give a mathematical
proof of the position momentum uncertainty in
quantum mechanics.
Write down the postulates of quantum mechanics.

2. Explain the concept of probability current density.

Write down the Schrodinger equation for a particle
executing Simple Harmonic Motion in one dimesion.
Find out the eigen function and eigen value of the
particles.
3. What is a rigid rotator? Deduce expressions for
eigen value and eigen function of a rigid rotator
with a free axis.
Solve Schrodinger's equation for hydrogen atom and
discuss its radial wave function.
Sub. Code
22
DE-655
2
WK 6
4. Explain Dirac notations.
Show that Hermitian operators have real eigen
values.
Explain stark effect in hydrogen atom.
5. State and Prove Variation principle for obtaining
approximate energies in wave mechanical problems.

Describe WKB approximation method with one
application.
6. Explain Fermi's golden rule.
Write short note on Induced emission
Spontaneous emission.
Write a note on Einstein's A and B coefficients.
7. Explain briefly Rayleigh Scattering Raman
Scattering Diffusion Scattering.
State and prove optical theorem.
8. Obtain Clebsch—Gordan coefficient when two
angular momenta j1 2 and j2 are
coupled.
Derive the Eigen value of operators J2 and Jz.