FIZ 352E - Quantum Mechanics II

Course Objectives

1 - apply quantum mechanics to three dimensional systems
2 - interpret the physical entities which has no classical counterpart
3 - calculate the physical quantities related to the hydrogen atom using the concepts of quantum mechanics
4 - find approximate solutions using perturbation theory
5 - the results of the interaction of particles with the electromagnetic fields

Course Description

3 dimensional Schrödinger equation: systems with spherical symmetry. 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 interchange operator. Pauli principle. N-particle systems. Spin and statistics. Time-independent perturbation theory: first and second order perturbations. Degenerate perturbation theory. Stark effect. Fine structure and hyperfine structure of the hydrogen atom. Zeeman effect. EPR paradox and the principle of locality. Seperability problem and quantum entanglement.