Statistical Mechanics: An Advanced Course with Problems and Solutions |
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approximation assumed average Boltzmann Calculate canonical distribution chemical potential classical coefficient conduction band constant coordinates cosh defined degeneracy degrees of freedom denoted density matrix derived distribution function donor levels dr₁ E₁ entropy equal equation Fermi gas Fermi potential filled band formula frequency given Hamiltonian harmonic oscillator heat capacity Helmholtz free energy Hence high temperatures ideal gas integral interaction internal energy kinetic kT log low temperatures m₁ microscopic molecular molecules momentum motion N₁ NOTE number of particles obtains partition function phase space problem quantum mechanics r₁ relation rotational rotational partition function sinh solution to example specific heat statistical mechanics Stirling's formula term theorem thermodynamic total number velocity vibration wave zero μο Σ Σ ат др дх