Physics - Statistical Mechanics - Quantum statistics - Fermi-Dirac and Bose-Einstein - Quantum Distribution Comparison

Interactive comparison of three distributions. Plot occupation number ⟨n⟩ vs energy E for: (1) Maxwell-Boltzmann: ⟨n⟩ = e^(-(E-μ)/k_BT) - classical, always < 1 for proper normalization. (2) Fermi-Dirac: ⟨n⟩ = 1/(e^((E-μ)/k_BT) + 1) - ranges from 0 to 1 (never > 1 per state - Pauli!). At T=0: step fu