M.Sc. DEGREE EXAMINATION, NOVEMBER 2017
Third Semester
QUANTUM MECHANICS — II
(Common for M.Sc. (Physics)/M.Sc. Physics
(Spl in Biosensor)
(CBCS 2016 onwards)
Time 3 Hours Maximum 75 Marks
Part A (10 x 2 20)
Answer all the questions.
1. Write down the x and y components of pauli spin
matrices.
2. What is meant by symmetric and anti symmetric wave
functions?
3. What are the advantages of Hartree method over
Hartree-Fock method?
4. Show that trace of Dirac matrice is zero.
5. Write down the charge and current densities in
Klein-Gordan equation.
6. What is meant by second quantization?
7. What is creation operator?
Sub. Code
521302/
522302
RW-935
2
Wk6
9. Define scattering cross section.
10. What are partial waves?
Part B x 5 25)
Answer all questions, choosing either or
12. Explain alkali atoms doubtlet intensity and doublet
separation.
Or
Explain the Thomas-Fermi model of atoms.
13. Derive Klein-Gordon equation for free particle.
Or
Explain the significances of negative energy states.
14. Explain the Dirac field.
Or
Discuss in detail on quantization of relativistic field.
RW-935
3
Wk6
15. Explain Born approximation.
Or
Give an explanation on differential scattering
cross-section, the total scattering cross-section and
the scattering amplitude.
Part C x 10 30)
Answer any three questions.
17. Derive Hartree-Fock equation.
18. Obtain Dirac equation for a free particle and obtain its
solution.
19. Explain the quantization of electromagnetic field.
20. Describe the method of partial waves for an elastic
scattering. Give the interpretation of phase shift and
deduce optical theorem.
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