| Postulates | Exact Solutions | Schrodinger Representation | Particle in the box |
| Harmonic Oscillator | |||
| Angular Momentum | Orbital Angular Momentum | ||
| Spin Angular Momentum | |||
| Central Potential | Rigid Rotor | ||
| Hydrogen atom | |||
| Heisenberg Representation | Two-level systems | ||
| Approximate Methods | Adiabatic Approximation | ||
| Perturbation Theory (P.T.) | Time Independent P.T. | Perturbed Particle in the box | |
| Helium atom | |||
| Spin-atom wavefunctions | Pauli Exclusion Principle | ||
| Li atom | |||
| Hund's rules | Periodic table | ||
| Spin-orbit interaction | |||
| H2 molecule | |||
| Time Dependent P.T. | Impulsive perturbation | ||
| Adiabatic perturbation | |||
| Sinusoidal perturbation | Spectroscopy | ||
| Variational Theorem | Scaling | Helium atom | |
| LCAO | H2+ molecule | ||
| H2 molecule | Heitler-London Method | ||
| Conjugated molecules | Huckel method | ||
| Diatomic molecules | Empirical Parametrization | ||
| Hartree Fock SCF Method |