Review of Angular momentum with emphasis on spin-half particles, Addition of Angular Momenta, Wigner-Eckart theorem*
Approximation Methods :
1. Variational Method
2. Time-independent Perturbation Theory.
(Zeeman and Stark effects)*
3. WKB approx and tunneling
4. Time-dependent Perturbation Theory
Continuum of states; Fermi’s Golden Rule.
Adiabatic and sudden approximations
Scattering theory : Born approximation and applications, Partial wave analysis, Optical theorem.
If time permits, one or more of: Dirac Equation*, Functional Methods*, Density Matrices*