Low Temperature Physics: 47, 116 (2021); https://doi.org/10.1063/10.0003171
Fizika Nizkikh Temperatur: Volume 47, Number 2 (February 2021), p. 132-135    ( to contents , go back )

On the theory of ideal Bose-gas

A. I. Bugrij and V. M. Loktev

Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv 03143, Ukraine
E-mail: abugrij@bitp.kiev.ua; vloktev@bitp.kiev.ua
pos Анотація:542

Received July 27, 2020, published online December 25, 2020

Abstract

Ideal Bose-gas with finite particle number N is investigated. It is shown that the well-known Bose–Einstein distribution of particles over their quantum states consists of two terms — Bose–Einstein term and an additional N-dependent one. The statement that the chemical potential of the ideal Bose-gas should be negative requires tobe also corrected. It is obtained that the analytically calculated observables rather slowly approach the thermodynamic limit following the law N–1/3lnN.

Key words: Bose-distribution, Bose–Einstein condensation, condensate density, critical temperature.

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