相对运动动力学系统Nielsen方程的Lie对称性与Hojman守恒量  

Lie symmetry and Hojman conserved quantity of Nielsen equation in a dynamical system of the relative motion

作　　者：解银丽[1] 贾利群[1] 杨新芳[1] 

机构地区：[1]江南大学理学院,无锡214122

出　　处：《物理学报》2011年第3期1-5,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10572021);江南大学预研基金(批准号:2008LYY011)资助的课题~~

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

关 键 词：相对运动动力学 NIELSEN方程 LIE对称性 HOJMAN守恒量 

分 类 号：O316[理学—一般力学与力学基础]