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Эта публикация цитируется в 13 научных статьях (всего в 13 статьях)
Статьи, опубликованные в английской версии журнала
On the Rate of Convergence to the Bose–Einstein Distribution
V. P. Maslovab, V. E. Nazaikinskiibc a National Research University Higher School of Economics,
Moscow, Russia
b Ishlinsky Institute for Problems in Mechanics,
Russian Academy of Sciences, Moscow, Russia
c Moscow Institute of Physics and Technology (State University), Moscow, Russia
Аннотация:
For a system of identical Bose particles sitting at integer energy levels with the probabilities of microstates given by a multiplicative measure with $\ge2$ 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.
Ключевые слова:
Bose–Einstein distribution, multiplicative measure, convergence, cumulative distribution, limit distribution.
Поступило: 22.01.2016
Образец цитирования:
V. P. Maslov, V. E. Nazaikinskii, “On the Rate of Convergence to the Bose–Einstein Distribution”, Math. Notes, 99:1 (2016), 95–109
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm11089https://doi.org/10.1134/S0001434616010107
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