刘维方程与统计分布

LIOUVILLE EQUATION AND STATISTICAL DISTRIBUTIONS

本文根据刘维方程讨论了经典系统和量子系统处于平衡态时分布函数和统计算符应当具有的普遍函数形式,并以常用的微正则分布、正则分布和巨正则分布予以印证.

Based on Liouville equation,this paper discusses the universal forms of distribution functions and statisticaloperators which essentially appear in the classical systems and quantum systems when they are in equilibriumstates.We take them as examples for listing the microcanonical distribution,the canonical distribution and thegrand canonical distribution for illustrating the idea.