On the rate of convergence to the Bose–Einstein distribution
- Авторы: Maslov V.1,2, Nazaikinskii V.2,3
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Учреждения:
- National Research University Higher School of Economics
- Ishlinsky Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology (State University)
- Выпуск: Том 99, № 1-2 (2016)
- Страницы: 95-109
- Раздел: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149064
- DOI: https://doi.org/10.1134/S0001434616010107
- ID: 149064
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Аннотация
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.
Об авторах
V. Maslov
National Research University Higher School of Economics; Ishlinsky Institute for Problems in Mechanics
Автор, ответственный за переписку.
Email: v.p.maslov@mail.ru
Россия, Moscow; Moscow
V. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)
Автор, ответственный за переписку.
Email: nazaikinskii@yandex.ru
Россия, Moscow; Moscow