时间尺度上约束Hamilton系统的Lie对称性  

Lie symmetry and conserved quantity for constrained Hamiltonian system on time scales

作　　者：陈志炜 朱建青[1] CHEN Zhiwei;ZHU Jianqing(School of Mathematics and Physics,SUST,Suzhou 215009,China)

机构地区：[1]苏州科技大学数理学院,江苏苏州215009

出　　处：《苏州科技大学学报（自然科学版）》2020年第3期23-27,61,共6页Journal of Suzhou University of Science and Technology（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11572212)。

摘　　要：研究了时间尺度上约束Hamilton系统的Lie对称性与守恒量问题。在考虑系统仅含第二类约束的情况下,导出了时间尺度上系统正则形式的运动微分方程。基于时间尺度上的Lie对称性理论,给出了系统所满足的确定方程、限制方程、附加限制方程和结构方程,建立了Lie对称性的守恒量。文末举例说明结果的应用。In this paper,we studied the Lie symmetry and conserved quantity for a constrained Hamiltonian system on time scales.Considering the system contains the second kind of constraints,we deduced the differential equations of motion for constrained Hamiltonian systems on time scales.Based upon the Lie symmetry theory on time scales,the determining equations,the restriction equations,the additional restriction equations and the structure equations for the system were given.The conserved quantity of Lie symmetry of a constrained Hamiltonian system on time scales was established.Finally,the application of the theorem was illustrated.

关 键 词：时间尺度 约束HAMILTON系统 LIE对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]