FIZ 415 - Quantum Mechanics II

Course Objectives

1. To learn how to apply quantum mechanics to the three dimensional real systems.
2. To understand the spin angular momentum which has no classical counterpart.
3. To understand how the structure of the hydrogen-type atoms can be explained successfully in quantum mechanics

Course Description

3 dimensional Schrödinger equation: spherically symmetric systems and angular momentum. Radial equation. Free particle. Infinite spherical well. Two-particle problem. Hydrogen atom. Stern-Gerlach experiment, spin angular momentum. Differential and matrix representations of operators. Spin- magnetic field interaction. Addition of angular momenta: Clebsch-Gordan coefficients. Identical particles. Particle exchange operator. Pauli principle. N-particle systems. Spin and statistics. Time-independent perturbation theory: first and second order perturbations. Degenerate perturbation theory. Variational approximation.