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On the theory of ideal Bose-gas
Low Temperature Physics ( IF 0.6 ) Pub Date : 2021-02-26 , DOI: 10.1063/10.0003171 A. I. Bugrij 1 , V. M. Loktev 1
Low Temperature Physics ( IF 0.6 ) Pub Date : 2021-02-26 , DOI: 10.1063/10.0003171 A. I. Bugrij 1 , V. M. Loktev 1
Affiliation
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:
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。
更新日期:2021-02-26
中文翻译:
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。