论经典统计力学与量子统计力学中的公理假设  

On Axiomatical Hypotheses of Classical and Quantum Statistical Mechanics

作　　者：谭立扬[1] 

机构地区：[1]北京工业大学化学与环境工程学系,北京100022

出　　处：《北京工业大学学报》1999年第1期1-9,共9页Journal of Beijing University of Technology

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．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

关 键 词：经典统计力学 量子统计力学 公理假设 

分 类 号：O414.2[理学—理论物理]