
B.S. MATHEMATICAL PHYSICSII [PHYS522] SYLLABUS

Tensors in Physics: Tensor Algebra, Vectors
on manifolds, the fundamental tensors, Tensors in nonrelativistic Physics,
Tensor calculus, Kinematics in Riemannian space, RiemannChristoffel
tensor.

Boundary value Problem and Green’s Functions:
Boundary value problems in physics, Nonhomogeneous boundary value
problems and Green’s functions, Green’s functions for
one dimensional problems, Eigen function expansion of Green’s
function, Construction of Green’s functions, Green’s function
in higher dimensions, Quantum mechanical scattering problems.

Integral equations: Classifications of integral
equations, Neumannseries solutions, The Fredholm alternatives, Fredholm
and Volterra equations, integral equations and Green’s functions.

Group theory: Groups, Invariant subgroups and factor
groups, Group representation, Character of a representation, Character
tables, Decomposition of a reducible representation into irreducible
ones, Lie groups and Lie algebras, The special unitary groups SU(2)
and SU(3), Irreducible representation of SO(3) and SU(3), Some applications
of group theory in physics.

Recommended Text:
1. G. B. Arfken, “Mathematical Methods for Physicists”,
Academic Press Inc. (1995).
2. M. L. Boas, “Mathematical Methods in Physical sciences”,
John Wiley and Sons, New York (1989).
3. P. K. Chattopadhyay, “Mathematical Physics”, Wiley
eastern Limited, New Delhi (1990).
4. H. Cohen, “Mathematics for Scientists and Engineers”,
Prentice Hall international Inc., New Jersey (1992).
5. E. Kreyszig, “Advanced Engineering Mathematics”, John
Wiley and Sons, 7th edition (1993).



