关于路径积分量子化中的Feynman规则  

On the Feynman’s Rule in Path Integral Quantization

作　　者：李子平[1] 高海啸[1] 

机构地区：[1]北京工业大学应用物理系

出　　处：《新疆大学学报（自然科学版）》1996年第1期53-57,共5页Journal of Xinjiang University(Natural Science Edition)

基　　金：国家自然科学基金;北京市自然科学基金

摘　　要：对于用正规拉氏量描述的系统，基于相空间中Ｇｒｅｅｎ函数的生成泛函，采用鞍点近似，可证明树图近似下，顶角生成泛函等于正则作用量．这样，勿需作出对正则动量的路径积分，就可导出树图近似下的Ｆｅｙｎｍａｎ规则．对非线性谐振子，作了详细讨论．在其拉氏量中添加一个时间全微分项后，虽然对经典动力学方程无影响，但量子系统的性质却不同．Based on the phase space generating functional of Green function for a system with regular Lagrangian,using saddle point approximation, we have been shown that the generating functional of proper venices is equal to canonicsl action in tree approximation. The Feynman’s rule for the theory can be deduced in this approximation without carrying out explicitly path integral over canonical momenta. A preliminary application of the theory to the Lagrangian which differs from harmonic oscillator by a total differential term of time was given, the propagator and energy level are different in both case.

关 键 词：路径积分 动力学系统 量子化 费曼规则 

分 类 号：O413[理学—理论物理]