广义完整非保守力学系统的Noether对称性与守恒量  

Noether synnetries and conserved quantities for holonomic onconservative dynamical systems in generalized classical mechanics

作　　者：周玉霞[1] 

机构地区：[1]山东科技职业学院,山东潍坊261053

出　　处：《枣庄学院学报》2010年第5期6-11,共6页Journal of Zaozhuang University

摘　　要：研究广义完整非保守力学系统的Noether对称性与守恒量。建立系统逆变代数形式的运动微分方程,基于Hamilton作用量在无限小变换群作用下的不变性,给出系统的Noether广义准对称变换和广义Killing方程,得到系统的广义Noether定理及逆定理;最后举例说明结果的应用.In this paper,Noether synnetries and conserved quantities for holonomic nonconservative dynamical systems in generalized classical mechanics are studied.Based on the invariance of hamilton/s action under infinitesimal transformation,the differential equations of motion forcontravariant algebra form of the systems are established.The Noether generalized quasi-symmetic transformations and generalized Killing equations are given.The generalized Noether/s theorem and the inverse theorem of the systems are obtained;and an example is give to illustrate the application of the result.

关 键 词：广义力学系统 对称性 守恒量 Killing方程 

分 类 号：O316[理学—一般力学与力学基础]