Quantum Gases

graph TD
    Q[Quantum Gases] --> A[Ensembles]
    A --> B[Microcanonical Ensemble]
    A --> C[Canonical Ensemble]
    A --> D[Grand Canonical Ensemble]
    Q --> E[Partition Function]
    Q --> T[Thermodynamics]

    SE(Shannon Entropy) --> |Maximal|BE(Boltzmann Entropy)
G Quantum Gases Quantum Gases Ensembles Ensembles Quantum Gases–Ensembles Thermodynamics Thermodynamics Quantum Gases–Thermodynamics Partition Function Partition Function Quantum Gases–Partition Function Microcanonical Microcanonical Ensembles–Microcanonical Canonical Canonical Ensembles–Canonical Grand Canonical Grand Canonical Ensembles–Grand Canonical

Microcanonical

See this and this

  • Common eigenstates
  • Principle of uniform a priori probabilities
  • Energy shell
  • Microcanonical density operator
  • Internal energy
  • Entropy postulate
  • Phase space volume

Canonical

Grand Canonical