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On the semiclassical transition in the quantum Gibbs distribution

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Abstract

An example of a Gibbs ensemble for a system of N Brownian particles is given, and the relation with Kolmogorov complexity is considered. The irreversibility of the process is analyzed and shown to be a consequence of the loss of numbering of the particles. The dependence of the measure in the semiclassicalGibbs distribution on temperature is studied in examples.

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Authors and Affiliations

  1. National Research University Higher School of Economics, Moscow, Russia

    V. P. Maslov

  2. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    V. P. Maslov

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  1. V. P. Maslov
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Correspondence to V. P. Maslov.

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Maslov, V.P. On the semiclassical transition in the quantum Gibbs distribution. Math Notes 97, 565–574 (2015). https://doi.org/10.1134/S000143461503027X

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  • DOI: https://doi.org/10.1134/S000143461503027X

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