Standard syllabus
Quantum mechanics I · Undergraduate · Physics
Topics
Foundations and one dimension
- Wave–particle duality and the Schrödinger equation
- Probability density and normalization
- Infinite square well and finite barriers
- Tunneling and transmission coefficients
- Harmonic oscillator (algebraic and series methods)
Formalism and three dimensions
- Hilbert space, bras and kets, and operators
- Commutators and uncertainty principle
- Separation of variables in 3D
- Hydrogen atom: quantum numbers and spectra
- Spin-½ and Stern–Gerlach experiment
Approximation methods
- Time-independent perturbation theory
- Degenerate perturbation and fine structure (intro)
- Variational principle for ground states
- WKB approximation (overview)
- Identical particles and Pauli exclusion preview
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