Lagrange系统对称性的摄动与Hojman型绝热不变量  

Perturbation of symmetries and Hojman adiabatic invariants for Lagrangian system

作　　者：张毅[1] 范存新[1] 梅凤翔[2] 

机构地区：[1]苏州科技学院土木工程系,苏州215011 [2]北京理工大学力学系,北京100081

出　　处：《物理学报》2006年第7期3237-3240,共4页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10272021);江苏省高校自然科学基金(批准号:04KJA130135)资助的课题.~~

摘　　要：研究Lagrange系统对称性的摄动与绝热不变量.列出未受扰Lagrange系统的Lie对称性导致的Hojman守恒量;基于力学系统的高阶绝热不变量的定义,研究在小扰动作用下Lagrange系统Lie对称性的摄动,得到了系统的一类Hojman形式的绝热不变量.并举例说明结果的应用.The perturbation of symmetries and adiabatic invariants for Lagrangian system are studied. The exact invariants introduced by the Lie symmetries of Lagrangian system without perturbation are given. Based on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for Lagrangian system with the action of small disturbance is investigated, and a type of Hojman adiabatic invariants of the system are obtained. An example is given to illustrate the application of the results.

关 键 词：LAGRANGE系统 对称性 摄动 绝热不变量 

分 类 号：O411.1[理学—理论物理]