Temperature Dependence of Distribution Functions in Quantum Statistical Mechanics

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Abstract
The Bloch equation is utilized to derive an integro-differential equation for the temperature dependence of the Wigner distribution function of a canonical ensemble. This equation is solved by two methods; one yields a power series in Planck's constant and the other a power series in the potential energy of the system. Transformation functions for the density matrix and the Wigner function are discussed and their possible application in the treatment of systems obeying Fermi-Dirac or Bose-Einstein statistics is investigated.

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