相空间中机电系统的统一对称性(英文)  

A Unified Symmetry of Mechanic-electrical Systems in Phase Space

作　　者：王小明[1] 李元成[1] 荆宏星[1] 

机构地区：[1]中国石油大学(华东)物理科学与技术学院,山东东营257061

出　　处：《江西科学》2007年第6期661-664,671,共5页Jiangxi Science

摘　　要：研究相空间中机电系统的统一对称性。由机电系统的Hamilton正则方程,给出系统的统一对称性的定义和判据,得到了系统的统一对称性导出Noether守恒量,Hojman守恒量和Mei守恒量,举例说明结果的应用。The unified symmetry of mechanic -electrical systems in phase space are studied in this paper. The definition and the criterion of unified symmetry of mechanic - electrical systems are presented from the Hamiltonian canonical equations. The Noether conserved quantity, the Hojman conserved quantity and new conserved quantity was deduced from the unified symmetry. An example is finally given to illustrate the application of the results.

关 键 词：相空间 机电系统 统一对称性 守恒量 

分 类 号：O411[理学—理论物理]