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Gibbs and Bose-Einstein distributions for an ensemble of self-adjoint operators in classical mechanics
Authors:V P Maslov
Institution:(1) Lomonosov Moscow State University, Moscow, Russia
Abstract:We introduce the notion of an ensemble of self-adjoint operators and formulate theorems relating the occupation numbers to the number of eigenvalues of the ensemble. We formulate a theorem for the Gibbs distribution in classical mechanics. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 2, pp. 312–316, May, 2008.
Keywords:Gibbs distribution  Bose-Einstein distribution  Bose condensate  ordered sampling with returns  disordered sampling with returns  Gibbs ensemble
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