完整系统Nielsen方程的统一对称性与守恒量  

Unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system

作　　者：李元成[1] 王小明[1] 夏丽莉[2] 

机构地区：[1]中国石油大学(华东)物理科学与技术学院,青岛266555 [2]河南教育学院物理系,郑州450046

出　　处：《物理学报》2010年第5期2935-2938,共4页Acta Physica Sinica

基　　金：河南省教育厅自然科学基础研究项目(批准号:2009A140003);河南教育学院骨干教师培养基金资助的课题~~

摘　　要：研究完整系统Nielsen方程的统一对称性与守恒量.在完整系统Nielsen方程的基础上,首先给出了Nielsen方程的Noether对称性、Lie对称性和Mei对称性与守恒量,其次给出了Nielsen方程的统一对称性的定义和判据,得到Nielsen方程的统一对称性导致的Noether守恒量、Hojman守恒量和Mei守恒量.举例说明结果的应用.The unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system are studied. On the base of the Nielsen equation,we first give the Noether symmetry,the Lie symmetry and the Mei symmetry for the equation and the conserved quantities deduced from them,then the definition and the criterion for unified symmetry of Nielsen equation are presented,lastly,the Mei conserved quantity,as well as the Noether conserved quantity and the Hojman conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the result.

关 键 词：完整系统 NIELSEN方程 统一对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]