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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 2, Pages 261–277
DOI: https://doi.org/10.4213/tmf329 (Mi tmf329) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Quantization of Boltzmann Entropy: Pairs and Correlation Function

V. P. Maslov

M. V. Lomonosov Moscow State University
Full-text PDF (241 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf329
Abstract: We consider the Gibbs statistical ensemble. We introduce the statistical-weight operator $\widehat\Gamma$, construct the entropy operator $\widehat S$ of the ensemble using the Boltzmann formula $\widehat S=\ln\widehat\Gamma$ and define the free-energy operator. We find asymptotic expressions for free-energy eigenvalues with pair correlations taken into account in the limit as the number of systems in the ensemble tends to infinity.
Received: 02.02.2002
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 2, Pages 666–680
DOI: https://doi.org/10.1023/A:1015476815804
Bibliographic databases:
Language: Russian
Citation: V. P. Maslov, “Quantization of Boltzmann Entropy: Pairs and Correlation Function”, TMF, 131:2 (2002), 261–277; Theoret. and Math. Phys., 131:2 (2002), 666–680
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
\yr 2002
\vol 131
\issue 2
\pages 666--680
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :266
    References:129
    First page:5
     
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