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 to be also corrected. It is obtained that the analytically calculated observables rather slowly approach the thermodynamic limit following the law N^−1/3lnN.

中文翻译：

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关于理想玻色气体的理论

研究了具有有限颗粒数N的理想玻色气体。结果表明，众所周知的粒子在其量子态上的玻色-爱因斯坦分布由两个项组成-玻色-爱因斯坦项和一个附加的N依赖项。理想的玻色气体的化学势应为负的说法也需要纠正。可以得出，分析得出的可观测值相当缓慢地遵循定律N ^-1/3 ln N接近热力学极限。