- Quantum Mechanics in higher dimensions.
- One particle in $n$D.
- Ladder operators in spherical coordinates.
- Mathematical Foundations of Quantum Mechanics
- Schrödinger equation in polar coordinates.
- The Radial equation.
- Old quantum theory (Bohr's model of the atom).
- Modern theory of the hydrogen atom.
- Hydrogen Wavefunctions.
- Helium.
- Angular momentum in 3D. Quantum Algebra.
- Eigenstates and eigenvalues of angular momentum.
- Spin.
- Addition of spin.
- $n$ particles in 1D.
- Atoms & Chemistry.
- Einstein solid.
- Quantum statistics.
- Variational principle.
- WKB approximation.
- Perturbation theory (time-independent).
- Perturbation theory (time-dependent).
- EPR correlations.