Advanced topics in Quantum Mechanics

  •  Lorentz force in Quantum Mechanics – effect of E, B fields on quantum systems – Aharonov-Bohm effect.
  • Two-level systems – Maser (possibly spontaneous/stimulated emission of light).
  • Symmetries in Quantum Physics – Invariance in space, time, time-reversal, Galilean transformations.
  • Classical limit and semi-classical methods – Wentzel-Kramers-Brillouin (WKB) method, Feynman Path Integrals.
  • Possible application to Hawking Black Hole radiation.
  • Elastic and inelastic scattering – collision theory.
  • Possible extension towards Quantum Decoherence and Shrödinger’s Cat.