原子—辐射场相互作用系统量子统计力学的相干态表述

Quantum statistical mechanics of the interaction systems of atom radiation field in the coherent state representation

用Ｈｅｉｓｅｎｂｅｒｇｗｅｙｌｅ（简ＨＷ）群直积ＳＵ（２）群上的相干态表述了原子—辐射场相互作用系统的量子统计力学。引入一个新定义的分布函数，将平衡态下密度矩阵的Ｂｌｏｃｈ方程转换成可分离变量的偏微分方程，给出了方程的形式解，算符和其平均值的表示。

Quantum Statistical Mechanics of interaction systems of atom radiation field is formulated by the use of the representation of coherent state direct prduct. After introducing a newly defined distribution of interaction syetems, the Bloch equation for the equilibrium density matrix is converted into partial differential equation of the type of separating variables. Formal solution of this differential equation is presented. and operator which is composed of a +,a, and its average formula are written down in the present representation.