Lagrange系统Mei对称性的Ⅲ型结构方程和Ⅲ型Mei守恒量  

Type Ⅲ structural equation and Mei conserved quantity of Mei symmetry for a Lagrangian system

作　　者：贾利群[1] 张耀宇[2] 杨新芳[1] 崔金超[3] 解银丽[1] 

机构地区：[1]江南大学理学院,无锡214122 [2]平顶山学院电气信息工程学院,平顶山467002 [3]北京理工大学宇航学院,北京100081

出　　处：《物理学报》2010年第5期2939-2941,共3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Lagrange系统Mei对称性的Ⅲ型结构方程和Ⅲ型Mei守恒量.在群的无限小变换下,由Lagrange系统Mei对称性的定义和判据,得到Lagrange系统Mei对称性的Ⅲ型结构方程和Ⅲ型Mei守恒量.举例说明结果的应用.Type Ⅲ structural equation and Mei conserved quantity of Mei symmetry for a Lagrangian system are studied. Under the infinitesimal transformation of groups,type Ⅲ structural equation and Mei conserved quantity of Mei symmetry for a Lagrangian system are obtained from the definition and the criterion of Mei symmetry for a Lagrangian system. Finally,an example is given to illustrate the application of the results.

关 键 词：LAGRANGE系统 MEI对称性 Ⅲ型结构方程 Ⅲ型Mei守恒量 

分 类 号：O316[理学—一般力学与力学基础]