事件空间中完整系统的Lie对称性与绝热不变量  

Lie symmetries and adiabatic invariants for holonomic systems in event space

作　　者：张毅[1] 

机构地区：[1]苏州科技学院土木工程系,苏州215011

出　　处：《物理学报》2007年第6期3054-3059,共6页Acta Physica Sinica

基　　金：江苏省高校自然科学基金(批准号:04KJA130135)资助的课题~~

摘　　要：研究事件空间中完整力学系统Lie对称性的摄动与绝热不变量.基于力学系统的高阶绝热不变量的概念,研究在小扰动作用下系统Lie对称性的摄动,得到了事件空间中完整力学系统的一类Hojman形式的高阶绝热不变量,给出了绝热不变量存在的条件及形式.并举例说明结果的应用.The perturbations of Lie symmetries and adiabatic invariants for holonomic mechanical systems in event space are studied. Based on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for the system under the action of small disturbance is investigated, and a type of Hojman high-order adiabatic invariants of the system are obtained. The conditions for the existence of the adiabatic invariants and the form of the adiabatic invariants are given. An example is presented to illustrate the results.

关 键 词：事件空间 对称性 摄动 绝热不变量 

分 类 号：O316[理学—一般力学与力学基础]