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On the rate of convergence to the Bose–Einstein distribution

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Abstract

For a system of identical Bose particles sitting at integer energy levels with the probabilities of microstates given by a multiplicative measure with ≥ 2 degrees of freedom, we estimate the probability of the sequence of occupation numbers to be close to the Bose–Einstein distribution as the total energy tends to infinity. We show that a convergence result earlier proved by A.M. Vershik [Functional Anal. Appl. 30 (2), 95–105 (1996)] is a corollary of our theorems.

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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

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

    V. E. Nazaikinskii

  4. Moscow Institute of Physics and Technology (State University), Moscow, Russia

    V. E. Nazaikinskii

Authors
  1. V. P. Maslov
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  2. V. E. Nazaikinskii
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Correspondence to V. P. Maslov or V. E. Nazaikinskii.

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The article was submitted by the authors for the English version of the journal.

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Maslov, V.P., Nazaikinskii, V.E. On the rate of convergence to the Bose–Einstein distribution. Math Notes 99, 95–109 (2016). https://doi.org/10.1134/S0001434616010107

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