Approximate methods: Time independent perturbation theory for non degenerate and degenerate levels, the variational method, the WKB approximation, time dependent perturbation theory.

Identical particles and second quantization: Indistingushablity of identical particles, systems of identical particles, quantum dynamics of identical particle systems, statistics, symmetry of states, fermions, bosons.

Theory of scattering: Scattering experiments and cross sections, potential scattering, the method of partial waves, the Born’s approximation.

The interaction of quantum systems with radiation: Electromagnetic field and its interaction with one electron system, transition rates, spontaneous emission, selection rules for electric dipole transitions, the spin of photon and its helicity.

Relativistic quantum mechanics: Schrödinger relativistic equation, probability and current densities, Klein-Gordon equation and hydrogen atom, Dirac relativistic equation.

Recommended Text:
1. W. Greiner; “Quantum Mechanics: An Introduction” 4th Edition, Springer Verlag, Berlin (2001).
2. J. S. Townsend; “A Modern Approach to Quantum Mechanics”, McGraw Hill Book Company, Singapore (1992).
3. W. Greiner; “Relativistic Quantum Mechanics” Springer Verlag, Berlin (1990).
4. F. Schwable; “Quantum Mechanics”, Narosa Publishing House, New Delhi (1992)
5. Fayyazuddin, Riazuddin; “Quantum Mechanics”, 1st Edition, World Scientific Publishing Co. Pte. Ltd. (1990).
6. M. P. Khanna; “Quantum Mechanics”, Har-Anand Publications, New Delhi, (1996).