摘要
本文给出了振子系统量子统计力学中的Bloch方程、Heisenberg运动方程以及von Neumann方程的相干态表述,使它们成为可分离变量的偏微分方程,并可采用各种变分技巧进行求解。
In this paper, the Bloch equation, the Heisenberg equation of motion, and the von Neumann equation are formulated by the use of the coherent state representation. In this formulation, the preceding equations are easily converted into partial differential equations of the type of separating variables respectively, and then various variational techniques can be introduced to sollve the quantum statistical problems of oscillator systems.