Statistical Mechanics: An Advanced Course with Problems and Solutions

approximation assumed atoms average Boltzmann Boltzmann equation calculate canonical distribution chemical potential classical coefficient collision conduction band constant coordinates cosh degeneracy denoted density matrix derived distribution function donor level E₁ electric entropy equal equation equilibrium Fermi gas filled band formula given grand partition function heat capacity Helmholtz free energy Hence ideal gas integral interaction internal energy kinetic kT log low temperatures M₁ magnetic field microscopic molecular field molecules momentum motion N₁ NOTE number density number of particles obtains partition function problem quantum r₁ relation rotational rotational partition function sinh solution to example specific heat spin statistical mechanics Stirling's formula sublattice term thermal thermodynamic total number velocity vibration zero μο Σ Σ ат др дх