变质量Birkhoff系统的Lie对称性与绝热不变量  

Lie Symmetry and Adiabatic Invariants of Variable Mass Birkhoffian System

作　　者：刘翠梅[1] 

机构地区：[1]商丘师范学院物理系,河南商丘476000

出　　处：《宁夏大学学报（自然科学版）》2007年第2期135-139,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10672143);河南省自然科学基金资助项目(072300440220);河南省高等教育教学改革研究资助项目(2006178)

摘　　要：研究变质量Birkhoff系统的对称性问题.采用嵌入质量法建立了变质量Birkhoff系统的基本原理、运动方程和小扰动方程.并讨论了该系统的Lie对称性,研究在无限小变换下该系统的对称性摄动,构造了s阶绝热不变量,给出了绝热不变量存在的条件和形式.最后,举例说明结果的应用.Abstract：The symmetry of variable mass Birkhoffian system is studied. Using the method of embedding mass, the basic principle, equation of motion and small disturbance equation of variable mass Birkhoffian system are established. The Lie symmetry of the system is discussed~ the perturbation of symmetries under the infinitesimal transformations is studied; s-order adiabatic invariants are constructed; and the existence conditions and forms of adiabatic invariants is presented. An example is given to illustrate the application of the result.

关 键 词：变质量 BIRKHOFF系统 LIE对称性 绝热不变量 

分 类 号：O320[理学—一般力学与力学基础]