广义力学中Lagrange方程的形式不变性  

Form Invariance of Lagrange′s Equations in Generalized Mechanics

作　　者：乔永芬[1] 李仁杰[1] 赵淑红[1] 

机构地区：[1]东北农业大学工程学院,黑龙江哈尔滨150030

出　　处：《江西师范大学学报（自然科学版）》2003年第3期196-199,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：黑龙江省自然科学基金(批准号9507)资助项目

摘　　要：对称性方法是寻求守恒量的近代方法,形式不变性是一种新的对称性.研究广义力学中Lagrange方程在无限小变换下的形式不变性.给出形式不变性的定义和判据.建立形式不变性导致守恒量的条件,并举例说明结果的应用.Symmetry method is a modern method in seeking conservation.A form invariance is a new symmetry.The aim of this paper is to study the form invariance of Lagrange′s equations in generalized mechanics under the infinitesimal transformations of groups.First,the definition and criterion of the invariance are given.Next,the condition under which the invariance can lead to a conserved quantity is established.Finally,we given an example to illustrate the application of the result.

关 键 词：广义力学 LAGRANGE方程 形式不变性 对称性 守恒量 无限小变换 分析力学 

分 类 号：O316[理学—一般力学与力学基础]