Exactly Solvable Models
A 16-module path through exactly solvable models, in study order from foundations to the frontier.
Modules
- The Particle in a 1D Box: Setup and Boundary Conditions
- Energy Levels and Quantization in the 1D Box
- Wavefunctions and Nodes in the 1D Box
- Normalization and Probability Densities in the 1D Box
- Expectation Values and Orthogonality in the Box
- Box Model for Conjugated Molecules
- The 2D and 3D Box and Degeneracy
- Separation of Variables in Multidimensional Problems
- Tunnelling Through a Barrier
- The Harmonic Oscillator as a Model for Vibration
- Harmonic Oscillator Energy Levels and Zero-Point Energy
- Hermite Functions and Oscillator Wavefunctions
- Ladder Operators for the Harmonic Oscillator
- Particle on a Ring
- Particle on a Sphere and Spherical Harmonics
- The Rigid Rotor as a Model for Molecular Rotation