相对运动动力学系统Appell方程Mei对称性导致的Mei守恒量  

Mei conserved quantity deduced from Mei symmetry of Appell equation in a dynamical system of relative motion

作　　者：贾利群[1] 解银丽[1] 罗绍凯[2] 

机构地区：[1]江南大学理学院,无锡214122 [2]浙江理工大学数学力学与数学物理研究所,杭州310018

出　　处：《物理学报》2011年第4期1-5,共5页Acta Physica Sinica

摘　　要：研究相对运动动力学系统Appell方程的Mei对称性及其直接导致的Mei守恒量.在群的无限小变换下,给出相对运动动力学系统Appell方程Mei对称性的定义和判据;得到相对运动动力学系统Appell方程Mei对称性的结构方程以及Mei对称性直接导致的Mei守恒量的表达式.举例说明结果的应用.Mei symmetry and Mei conserved quantity deduced directly from Mei symmetry for Appell equations in a dynamical system of the relative motion are investigated.The definition and the criterion of Mei symmetry of Appell equations in a dynamical system of the relative motion under the infinitesimal transformations of groups are given.The expressions of the determining equation of Mei symmetry of Appell equations and Mei conserved quantity deduced directly from Mei symmetry in a dynamical system of the relative motion are gained.An example is given to illustrate the application of the results.

关 键 词：相对运动动力学 APPELL方程 MEI对称性 MEI守恒量 

分 类 号：O316[理学—一般力学与力学基础]