一阶Lagrange系统的Noether对称性和守恒量  

NOETHER SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS

作　　者：张宏彬[1] 陈海波[1] 

机构地区：[1]巢湖师专物理系,安徽巢湖238000

出　　处：《青岛大学学报（自然科学版）》2001年第4期66-71,共6页Journal of Qingdao University(Natural Science Edition)

摘　　要：本文首先将一阶微分方程化成一阶的Lagrange方程,其次,研究了一阶Lagrange系统的作用量在无限小群变换下的不变性,进而推得一阶Lagrange系统的Noether定理。In this paper, a system of first order ordinary differential equations is expressed in the from of first order Lagrange equations. The invariance of action integral of first order Lagrange system is studied under the infinitesimal transformation of group. Finally, Noether theorem of first order Lagrange system is presented.

关 键 词：LAGRANGE系统 NOETHER定理 守恒量 对称性 分析力学 

分 类 号：O316[理学—一般力学与力学基础]