· Wave particle duality: Old quantum theory
· Concepts in wave mechanics – particle – waveduality
· Quantum mechanics – wave mechanics
· Postulatory approach to wave mechanics
· Exact solutions: Applications 1 to 3 particle ina box – tunneling electron in a periodic lattice
· Exact solutions: Application – 4 linearoscillator – traditional approach
· Exact solutions: Application - 4 quantum mechanical oscillator II operatormethod
· Exact solutions: Application – 5 Sphericallysymmetric system particle on a ring – ring rotator
· Exact solutions: Application – 6 wave mechanicsof the hydrogen atom
· Paradoxes in quantum mechanics
· Mathematical formalism of quantum mechanicsmatrix mechanics
· Types of pictures (equation of motion)Schrodinger, Heisenberg and interaction pictures
· Harmonic oscillator revisited matrix formulation
· Invariance principles and conserved quantitiesin quantum mechanics
· Angular momentum properties
· Angular momentum matrices
· Intrinsic angular momentum particle with spin ½
· Addition of angular momenta: Total angularmomentum, CG coefficients
· Perturbation theory of stationary state
· Variational and WKB approximation methods
· Fine structure of Hydrogen and Zeeman effect
· Scattering theory (Collision or Reaction)
· Identical particles (many body systems)
· Time dependent perturbation theory
· Relativistic quantum mechanics
· Interacting fields; quantum field theory,quantum electrodynamics