Official description

1. Kets, Bras, and Operators; basis sets, Change of Basis and Matrix Representations
2. Measurements, Observables, and the Uncertainty Relations
3. Continuous systems: Position, Momentum, and Translation
4. Density Operators and Pure Versus Mixed Ensembles; entropy
5. Time Evolution: Schrodinger Equation; Heisenberg Picture; master equation
6. Schrodinger's Wave Equation; free particles; bound states; examples (square well, HO)
7. Angular Momentum in Quantum Mechanics
8. Spherical symmetry and the Hydrogen Atom
9. Symmetries, Conservation Laws, and Degeneracies
10. Time-Independent Perturbation Theory; fine structure of Hydrogen; scattering
11. Time-Dependent Perturbation Theory: The Interaction Picture; Fermi’s golden rule
12. Multi-Particle states; Permutation Symmetry & Pauli Principle

Additional information

Grading: 5 problem sets worth 10% each; 1 final exam worth 50%