Vacco动力系统的Lie对称性与Hojman守恒量  

Lie Symmetry and the Hojman Conserved Quantity of Vacco Mechanical System

作　　者：顾书龙[1] 张宏彬[2] 

机构地区：[1]南京晓庄学院物理系,江苏南京210017 [2]巢湖学院科研处,安徽巢湖238000

出　　处：《安徽师范大学学报（自然科学版）》2008年第4期326-329,共4页Journal of Anhui Normal University(Natural Science)

基　　金：安徽省自然科学基金(07046216)

摘　　要：研究Vacco动力系统的Lie对称性与Hojman守恒量.给出Vacco动力系统的运动微分方程并给出Lie对称性的确定方程,提出受Vacco约束力学系统的Lie对称性导致的Hojman守恒量.最后给出一个例子说明结果的应用.In this paper, the Lie symmetry and its conserved quantities of Vacco mechanical system is studied. The differential equations and the determining equations of Lie symmetry for the system are given. A theorem asserting that the Lie symmetry for the system leads to the Hojman conserved quantity is presented. An example is finally given to illustrate the application of the result of this paper.

关 键 词：Vacco系统 LIE对称性 HOJMAN守恒量 

分 类 号：O320[理学—一般力学与力学基础]