PHY 402 - QUANTUM MECHANICS II
Time-independent perturbation theory: Stationary perturbation theory, second order correction and Higher order wave function, The perturbed harmonic oscillator, Gravitational energy shift in atomic hydrogen, Time-independent perturbation theory for degenerate energy level, Doubly degenerate energy level, Quasi-degenerate states, The stark effect, The Rine structure constant and anomalous Zeeman effect. Time Dependent perturbation theory: variation of constants, General features of time-dependent perturbation theory, Transition probability, Thomas-Fermi golden rule, time dependent perturbation theory for non-degenerate and degenerate cases; Two- level system, Time-independent perturbation theory for transitions. Scattering theory; Basic definitions and general features of the scattering potential. Method of partial waves, Applications of natural wave method, Resonance scattering, scattering by hand sphere potential, nucleon-nucleon scattering, nucleon-proton scattering, Transition matrix, The Born approximation, Green’s Function of the Schrödinger equation for a single particle and time – dependent Green’s Function theory, elastic potential scattering. Green’s function and partial wave methods. Selected phenomena from each of atomic physics, molecular physics, Solid State Physics and nuclear Physics are described and then interpreted using quantum mechanical models.