Vacco动力学方程的Mei对称性、Lie对称性和Noether对称性  

Mei symmetry, Noether symmetry and Lie symmetry of a Vacco system

作　　者：顾书龙[1] 张宏彬[2] 

机构地区：[1]巢湖学院物理系,巢湖238000 [2]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《物理学报》2005年第9期3983-3986,共4页Acta Physica Sinica

基　　金：安徽省教育厅科研基金(批准号:2004kj294)资助的课题.~~

摘　　要：研究Vacco动力学方程的形式不变性即Mei对称性,给出其定义和确定方程,研究Vacco动力学方程的Mei对称性与Noether对称性、Lie对称性之间的关系,寻求系统的守恒量,给出一个例子说明结果的应用.The Mei symmetry, i.e. the form invariance, of a Vacco system is studied. The Definition and the determining equation of Mei symmetry in the Vacco system are given. The relations among the Mei symmetry, the Lie symmetry and the Noether symmetry are studied, and the conserved quantities of the Vacco system are obtained. An example is finally given to illustrate the application of the result of this paper.

关 键 词：VACCO动力学方程 MEI对称性 NOETHER对称性 LIE对称性 守恒量 形式不变性 确定方程 

分 类 号：O316[理学—一般力学与力学基础]