Geodesic
Quantization of Boltzmann Entropy: Pairs and Correlation Function
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 2, pp. 261-277

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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. 
@article{TMF_2002_131_2_a7,
     author = {V. P. Maslov},
     title = {Quantization of {Boltzmann} {Entropy:} {Pairs} and {Correlation} {Function}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {261--277},
     publisher = {mathdoc},
     volume = {131},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a7/}
}
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V. P. Maslov. Quantization of Boltzmann Entropy: Pairs and Correlation Function. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 2, pp. 261-277. http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a7/