Hénon-Heiles系统的Noether对称性与Noether守恒量  

Noether symmetry and the Noether conserved quantity of the Hénon-Heiles system

作　　者：顾书龙[1] 

机构地区：[1]南京晓庄学院物理与电子工程学院,江苏南京211171

出　　处：《安徽大学学报（自然科学版）》2011年第6期30-34,共5页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10872037)

摘　　要：动力学系统的Noether对称性与守恒量研究一直是近代数学物理的一个重要的新发展方向,多应用于量子力学、空间飞行力学及现代工程力学领域.研究Hénon-Heiles系统动力学方程在群无限小变换下的Noether对称性,得到其确定方程,给出其Norther对称性的定义与判据,并由其Noether对称性直接导出几个Noether守恒量.The research on the Noether symmetry and its conserved quantity for dynamics system is a relatively new direction of development in modern mathematical physics,and can be applied to quantum mechanics,mechanics of space flight and some fields in modern engineering science.In this paper,the Noether symmetry and the Noether conserved quantities of the Hénon-Heiles system were studied.The determining equations of Noether symmetry for the system had been got.The Noether symmetry definition and criterion of Hénon-Heiles system were given.A theorem asserting that the Noether symmetry for the system leads to the several conserved quantity was presented.

关 键 词：动力学系统 Hénon-Heiles方程 NOETHER对称性 守恒量 

分 类 号：O320[理学—一般力学与力学基础]