- Quantum Mechanics in higher dimensions.
- The 2D Harmonic Oscillator.
- Ladder operators in spherical coordinates.
- Complete set of Commuting Observables.
- 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.
- Angular momentum in 3D. Quantum Algebra.
- Eigenstates and eigenvalues of angular momentum.
- Spin.
- Spin 1/2.
- Addition of spin.
- $n$ particles in 1D.
- Atoms & Chemistry.
- Solid state and condensed matter.
- Variational principle.
- Perturbation theory.
- Time-dependent hamiltonians.
- Berry phase.
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