Quantum Mechanics

Quantum theory from the wavefunction and the Schrödinger equation through to the formal postulates, perturbation theory, identical particles and scattering.

This subject course follows the topic vertically, across the years it spans. The lessons are still being written — each is shown as a placeholder.

Year 2 — Quantum Mechanics I

  1. The Origins of Quantum Theory
  2. The Wavefunction and the Born Rule
  3. The Schrödinger Equation
  4. The Infinite Square Well
  5. The Finite Well and Tunnelling
  6. The Quantum Harmonic Oscillator
  7. Operators, Observables and Expectation Values
  8. The Uncertainty Principle
  9. Dirac Notation
  10. The Hydrogen Atom
  11. Angular Momentum and Spin

Year 3 — Quantum Mechanics II

  1. The Formal Postulates of Quantum Mechanics
  2. Angular Momentum Algebra
  3. Identical Particles and Spin-Statistics
  4. Time-Independent Perturbation Theory
  5. The Variational Method
  6. Time-Dependent Perturbation and Fermi's Golden Rule
  7. Scattering Theory: An Introduction