M.Sc. DEGREE EXAMINATION, APRIL 2016
Second Semester
Physics
MATHEMATICAL PHYSICS II
(2011 onwards)
Time 3 Hours Maximum 75 Marks
Part A (10 2 20)
Answer all the questions.
All questions carry equal marks.
1. Define the essential singularity.
2. Write the equation of Laurent series.
3. What is the difference between 1st and 2nd order partial
differential equations?
4. State the properties of Green's function.
5. State the Sturm-Liouville theory.
6. Define the degeneracy.
7. What are contravariant and covariant vectors?
8. Define the fully anti symmetric tensor of rank N.
Sub. Code
521202
RW-10845
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9. What is the difference between reducible and irreducible
representations?
10. Mention the crystal symmetry operators.
Part B 5 25)
Answer all the questions, choosing either or
11. Write a short note on Schwartz reflection principle.
Or
Explain the residue theorem.
12. Write a detailed note on wave equation.
Or
Derive Green's function.
13. Obtain Self-Adjoint ODEs.
Or
Explain the Hermitian operators.
14. Discuss about the isotropic tensor.
Or
Derive the equations for Lorentz transformation of
coordinates.
15. State and prove the orthogonality theorem.
Or
Explain representation theory in quantum
mechanics.
RW-10845
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hp-ap1
Part C 10 30)
Answer any three questions.
All questions carry equal marks.
16. Explain in detail about mapping and conformal mapping.
17. Derive the Laplace and Poisson equations.
18. Explain in detail about the completeness of Eigen
functions.
19. Discuss the outer and inner product of tensors and derive
the equations for them.
20. Explain the character of a representation, construction of
character tables and decomposition of reducible
representations.