仅含第二类约束的约束Hamilton系统的Lie对称性  

LIE SYMMETRIES OF CONSTRAINED HAMILTONIAN SYSTEM WITH THE SECOND TYPE OF CONSTRAINTS 

作　　者：张毅[1] 薛纭[2] 

机构地区：[1]苏州城建环保学院基础部,苏州215011 [2]上海应用技术学院机械工程系,上海200233

出　　处：《物理学报》2001年第5期816-819,共4页Acta Physica Sinica

基　　金：国家自然科学基金(批准号 :19972 0 10 );苏州城建环保学院科研基金资助的课题&&

摘　　要：研究仅含第二类约束的约束Hamilton系统的Lie对称性 .建立Lie对称性的确定方程、限制方程和附加限制方程 。We have studied the Lie symmetries of a constrained Hamiltonian system only with the second type of constraints,and establised the determining equations, the restriction equations and the additional restriction equations. The conditions under which a Lie symmetry can lead to a conserved quantity and the form of the quantity were given.

关 键 词：奇异系统 正则变量 约束 LIE对称性 守恒量 第二类约束 约束HAMILTON系统 

分 类 号：O316[理学—一般力学与力学基础]