论文标题

关于有限粒子数的理想玻色气的理论

On the theory of ideal Bose-gas at a finite particle number

论文作者

Bugrij, A. I., Loktev, V. M.

论文摘要

研究了具有有限数量$ n $颗粒的理想玻色气体。在大规范,规范和微型典型的集合中找到了分区功能和职业数字的确切表达式。评估了分区功能和职业数字的Asymp \ totic表达式(在情况下$ n \ gg1 $)。结果表明,理想的bose-gas的化学势$μ$可能位于$ - \ infty <μ<\ infty $的范围内,与广泛采用的观点相反,即该电位的价值为负。

The ideal Bose-gas with finite number $N$ of particles is investigated. The exact expressions for the partition functions and occupation numbers in the grand canonical, canonical and microcanonical ensembles are found. The asymp\-totic expressions (in the case $N\gg1$) for the partition functions and occupation numbers in the canonical and microcanonical ensembles are evaluated. It is shown that the chemical potential $μ$ of the ideal Bose-gas can lie in the range $-\infty<μ<\infty$ oppositely to the widely adopted opinion that the value of this potential is negative.

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