Noether Symmetry and Noether Conserved Quantity of Nielsen Equation for Dynamical Systems of Relative Motion  

作　　者：解银丽 杨新芳 贾利群 

机构地区：[1]School of Science,Jiangnan University

出　　处：《Communications in Theoretical Physics》2011年第1期111-114,共4页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.10572021;the Preparatory Research Foundation of Jiangnan University under Grant No.2008LYY011

摘　　要：Noether symmetry of Nielsen equation and Noether conserved quantity deduced directly from Noether symmetry for dynamical systems of the relative motion are studied. The definition and criteria of Noether symmetry of a Nielsen equation under the infinitesimal transformations of groups are given. Expression of Noether conserved quantity deduced directly from Noether symmetry of Nielsen equation for the system are obtained. Finally, an example is given to illustrate the application of the results.

关 键 词：dynamics of the relative motion Nielsen equations Noether symmetry Noether conserved quantity 

分 类 号：O175[理学—数学]