Conformal invariance and conserved quantities of dynamical system of relative motion  

作　　者：陈向炜 赵永红 李彦敏 

机构地区：[1]Department of Physics and Information Engineering,Shangqiu Normal University

出　　处：《Chinese Physics B》2009年第8期3139-3144,共6页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No 10372053);the Natural Science Foundation of Henan Province,China (Grant Nos 082300410330 and 082300410370)

摘　　要：This paper discusses in detail the conformal invariance by infinitesimal transformations of a dynamical system of relative motion. The necessary and sufficient conditions of conformal invariance and Lie symmetry are given simultaneously by the action of infinitesimal transformations. Then it obtains the conserved quantities of conformal invariance by the infinitesimal transformations. Finally an example is given to illustrate the application of the results.This paper discusses in detail the conformal invariance by infinitesimal transformations of a dynamical system of relative motion. The necessary and sufficient conditions of conformal invariance and Lie symmetry are given simultaneously by the action of infinitesimal transformations. Then it obtains the conserved quantities of conformal invariance by the infinitesimal transformations. Finally an example is given to illustrate the application of the results.

关 键 词：dynamical system of relative motion infinitesimal transformation conformal invariance conserved quantities 

分 类 号：O316[理学—一般力学与力学基础]