Total No. of Questions [Total No. of Pages 2
M.Sc. (Previous) DEGREE EXAMINATION, MAY 2018
First Year
PHYSICS
Quantum Mechanics
Time 3 Hours Maximum Marks 70
Answer any Five questions.
All questions carry equal marks
Q1) Explain the significance of wave functions and their interpretation.
Explain Dirac's bra and ket notations.
Q2) What are stationary states? Explain.
Obtain the solution of wave equation for a rigid rotator.
Q3) Explain the stark effect in hydrogen atom
Obtain the ground state of helium atom using Variation method.
Q4) Briefly explain time dependent perturbation theory.
Write a note on Einstein transition probabilities.
Q5) Define angular momentum operator and obtain the commutation relations
between them.
Obtain Eigen values for L2 and Lz
Q6) Derive pauli's spin matrices.
State and explain Wignas Eekart theorem.
Q7) Obtain equation of motion in Heisen berg's picture.
Explain the correspondence between Schrodinger's and Heisenberg's pictures.
Q8) Obtain the Dirac's relativistic equation for a free particle.
Write a note on Negative energy states.
Q9) Write notes on any two of the following
Uncertainty principle
WKB method
CG coefficients
Probability and current densities.