附加约束奇异Lagrange量系统的量子化理论  

The quanum theory on a system with a singular lagrangian containing subsidiary constraints

作　　者：李瑞洁[1] 李子平[2] 

机构地区：[1]华北电力大学数理系 [2]北京工业大学应用数理学院

出　　处：《云南大学学报（自然科学版）》2011年第4期417-421,427,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：北京市自然科学基金资助项目(1942005)

摘　　要：研究了含附加约束奇异Lagrange量系统(约束奇异系统)的量子化,给出了该约束奇异系统修改的Dirac-Bergmann算法,分析了系统的经典正则对称性,研究了它的路径积分量子化和量子对称性质,通过实例说明经典理论中对称性和守恒律的关系在量子理论中不再有效.The quantization for a singular Lagrangian systems with subsidiary constrained has been studied.A modified Dirac-Beigmann algorithm for this constrained system has been formulated.The path-integral quantization and canonical symmetry both at the classical and quantum level of those systems also have been discussed.An example has been given to illustrate that the connection between the symmetry and conservation laws in classical theories is not always valid in the quantum theory.

关 键 词：约束HAMILTON系统 附加约束 量子理论 守恒律 

分 类 号：O316[理学—一般力学与力学基础]