摘要
Gaussian 加权的轨道方法(GWTM ) 在随机的阶段近似是古典 S 矩阵理论(CSMT ) 的实际实现,是的 CSMT 第一并且分子的碰撞的最简单的半古典作品途径,在七十年代初发展了。很不过精神上关门到完全古典的描述,到为不同 degrees-of-freedom 的量子化的某程度的 GWTM 报道在这些过程包含了。当 CSMT 可以给分叉的期末考试时,说分布,在与散布理论的橡皮的彩虹效果的关系, GWTM 从来没导致过如此的一场数学大祸。现在的笔记的目标是解释这发现。
The Gaussian weighted trajectory method (GWTM) is a practical implementation of classical S matrix theory (CSMT) in the random phase approximation, CSMT being the first and simplest semi-classical approach of molecular collisions, developped in the early seventies. Though very close in spirit to the purely classical description, GWTM accounts to some extent for the quantization of the different degrees-of-freedom involved in the processes. While CSMT may give diverging final state distributions, in relation to the rainbow effect of elastic scattering theory, GWTM has never led to such a mathematical catastrophe. The goal of the present note is to explain this finding.