闭路格林函数和非线性响应理论(Ⅰ)

THE CLOSED TIME PATH GREEN'S FUNCTIONS AND THE THEORY OF NONLINEAR RESPONSE (Ⅰ)

本文是关于非线性响应理论的文章的前半部分。由闭路格林函数的生成泛函的展开式及闭路格林函数的变换关系导出非线性响应的一般表示式。从代数关系、KMS条件、时间反演不变性和谱表示等四个方面,提出寻求多点函数间关系的一般考虑。

By using the generating functional and the transformations for different forms of the closed time path Green's functions, the general equations on nonlinear response are derived. On the basis of the algebraic identities, KMS condition, time reversal inva-riance and spectral representation, the general considerations for seeking the relations among many-point functions are suggested.