SM4 · Quantum statistics
A 18-module path through sm4 · quantum statistics, in study order from foundations to the frontier.
Modules
- Indistinguishability of Identical Particles
- Symmetrization Postulate and Wavefunction Symmetry
- Bosons, Fermions, and the Spin-Statistics Connection
- Pauli Exclusion Principle
- Occupation Number Representation
- Grand Canonical Ensemble for Ideal Quantum Gases
- Bose-Einstein Distribution
- Fermi-Dirac Distribution
- Maxwell-Boltzmann Classical Limit
- Gibbs Correction and Correct Boltzmann Counting
- Thermal de Broglie Wavelength (SM4)
- Quantum Concentration and the Classicality Criterion
- Density of States in k-Space
- Density of States in Energy
- Periodic vs Hard-Wall Boundary Conditions and Mode Counting
- Fugacity and Chemical Potential in Quantum Gases
- Quantum Statistical Fluctuations in Occupation Numbers
- Parastatistics and Anyons