广义经典力学中Hamilton-Tabarrok-Leech正则方程的对称性理论  

Symmetry theory of the Hamilton-Tabarrok-Leech's canonical equations in generalized classical mechanics

作　　者：乔永芬[1] 赵淑红[1] 李仁杰[2] 

机构地区：[1]东北农业大学工程学院,哈尔滨150030 [2]莱阳农学院基础部,莱阳265200

出　　处：《物理学报》2006年第11期5598-5605,共8页Acta Physica Sinica

基　　金：黑龙江省自然科学基金(批准号:9507)资助的课题.~~

摘　　要：提出广义Hamilton-Tabarrok-Leech正则方程的对称性理论.列写系统的运动方程.研究系统的Noether对称性、形式不变性和Lie对称性,并求出相应的守恒量.举例说明结果的应用.Symmetry theory of the generalized Hamihon-Tabarrok-Leech＇ s canonical equations is presented. The differential equations of motion of systems are written. The Noether symmetry, the form invariance and the Lie symmetry of systems are studied, and the corresponding conserved quantities are found. Finally, an example is given to illustrate the application of the results.

关 键 词：广义经典力学 H-T-L正则方程 对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]