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Vacco动力系统的Lie对称性与Hojman守恒量
引用本文:顾书龙,张宏彬.Vacco动力系统的Lie对称性与Hojman守恒量[J].安徽师范大学学报(自然科学版),2008,31(4).
作者姓名:顾书龙  张宏彬
作者单位:南京晓庄学院,物理系,江苏,南京,210017;巢湖学院,科研处,安徽,巢湖,238000;巢湖学院,科研处,安徽,巢湖,238000
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.

关 键 词:Vacco系统  Lie对称性  Hojman守恒量

Lie Symmetry and the Hojman Conserved Quantity of Vacco Mechanical System
GU Shu-long,ZHANG Hong-bin.Lie Symmetry and the Hojman Conserved Quantity of Vacco Mechanical System[J].Journal of Anhui Normal University(Natural Science Edition),2008,31(4).
Authors:GU Shu-long  ZHANG Hong-bin
Abstract: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.
Keywords:Vacco system  Lie symmetry  Hojman conserved quantity
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