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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 155, Number 2, Pages 312–316
DOI: https://doi.org/10.4213/tmf6213 (Mi tmf6213) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Gibbs and Bose–Einstein distributions for an ensemble of self-adjoint operators in classical mechanics

V. P. Maslov

M. V. Lomonosov Moscow State University
Full-text PDF (395 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf6213
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.
Keywords: Gibbs distribution, Bose–Einstein distribution, Bose condensate, ordered sampling with returns, disordered sampling with returns, Gibbs ensemble.
Received: 22.02.2008
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 2, Pages 775–779
DOI: https://doi.org/10.1007/s11232-008-0066-z
Bibliographic databases:
Language: Russian
Citation: V. P. Maslov, “Gibbs and Bose–Einstein distributions for an ensemble of self-adjoint operators in classical mechanics”, TMF, 155:2 (2008), 312–316; Theoret. and Math. Phys., 155:2 (2008), 775–779
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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