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论经典统计力学与量子统计力学中的公理假设
引用本文:谭立扬. 论经典统计力学与量子统计力学中的公理假设[J]. 北京工业大学学报, 1999, 25(1): 1-9.
作者姓名:谭立扬
作者单位:北京工业大学化学与环境工程学系!北京100022
摘    要:总结归纳了经典统计力学与量子统计力学的基本假设。根据这些公理假设,严格论证了各种统计分布,概率分布及量子巨正则系综原理。同时指出,经典分布与体总数有关而量子分布与体总数无关,原因是前者体可分辨而后者体不可分辨,而与体所处的状态无关.

关 键 词:N体系统  麦克斯韦尔-玻尔兹曼分布  玻色-爱因斯坦分布  费米——狄拉克分布  量子巨正则系综
收稿时间:1997-12-10

On Axiomatical Hypotheses of Classical and Quantum Statistical Mechanics
Tan Liyang. On Axiomatical Hypotheses of Classical and Quantum Statistical Mechanics[J]. Journal of Beijing University of Technology, 1999, 25(1): 1-9.
Authors:Tan Liyang
Abstract:The classical and quantum statistical mechanics discussed in detail are those of hypotheses which possess axiomatic properties. Based on the hypotheses Maxwell-Boltzmann, Bose-einstein, and Fermi-Dirac statistical distributions are derived and proved concisely and rigorously.Also the principle of quantum grand canonical ensemable is analysed. And it is indicated that the non-identity and identity of bodies essentially result in the diversity between calssical and quanrum statistical mechanics: the forrner is related to the total body number and the latter is not
Keywords:B-body system   B-M distribution   B-E distribution   F-D distribution   quantum grand canonic ensemble
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