1. Quantum Mechanics in higher dimensions.
2. The 2D Harmonic Oscillator.
3. Ladder operators in spherical coordinates.
4. Complete set of Commuting Observables.
5. Schrödinger equation in polar coordinates.
6. The Radial equation.
7. Old quantum theory (Bohr's model of the atom).
8. Modern theory of the hydrogen atom.
9. Hydrogen Wavefunctions.
10. Angular momentum in 3D. Quantum Algebra.
11. Eigenstates and eigenvalues of angular momentum.
12. Spin.
13. Spin 1/2.
14. Addition of spin.
15. $n$ particles in 1D.
16. Atoms & Chemistry.
17. Solid state and condensed matter.
18. Variational principle.
19. Perturbation theory.
20. Time-dependent hamiltonians.
21. Berry phase.