QUANTUM MECHANICS

Schrödinger wave equation and wave functions. Density currents. Operators. Representations. Bound states in one and three dimensions (quantum well, separation of variables). Wave packet. LHO (energy states, eigenfunctions, creation and annihilation operators). Angular momentum and motion in central force field (L and L2 operators, spherical harmonics, Hydrogen atom). Motion of charged particle in EM field. Stationary state perturbation theory. Time dependent perturbation theory. Variational method. WBK approximation. Numerical methods. Identical particles and spin (bosons and fermions, Pauli’s equation, spin-orbit interaction, density matrix). Matrix formulation (operators, state vectors, unitary transformations, matrix theory of LHO). Dirac formalism.