奇异系统的量子Poincaré-Cartan积分不变量  

Quantum Poincaré-Cartan Integral Invariant for Singular System

作　　者：李瑞洁[1] 李子平[2] 

机构地区：[1]华北电力大学(北京)数理系,北京102206 [2]北京工业大学应用数理学院,北京100022

出　　处：《北京工业大学学报》2007年第4期437-440,共4页Journal of Beijing University of Technology

摘　　要：为了研究奇异Lagrange量系统(奇异系统)的对称性问题,从有限自由度系统相空间Green函数生成泛函出发,导出了奇异系统量子情形的Poincare-Cartan(PC)积分不变量,其中不包含系统基态符号|0>．讨论了该不变量与Hamilton-Jacobi方程的关系,指出由PC积分不变量可导致量子水平的Hamilton-Jacobi方程．In order to study the symmetry of a singular system, based on phase-space generation of Green function of a singular system with finite degrees of freedom, an integral invariant of quantum Poincarè-Cartan （excluding ground state sign ｜0〉 ） is established. The relationship between the Poincarè-Cartan integral invariant and the Hamilton-Jacobi equation is discussed at the quantum level. It is pointed that the Hamilton-Jacobi equation can be deduced from integral invariant of the quantum Poincarè-Cartan.

关 键 词：量子理论 对称性 HAMILTON量 Poincaré-Caftan积分不变量 

分 类 号：O413.3[理学—理论物理]