关于完整非保守系统的3种对称性  

On Three Kinds of Symmetries for Holonomic Nonconservative System

作　　者：何光[1] 梅凤翔[2] 

机构地区：[1]北京理工大学宇航科学技术学院,北京100081 [2]北京理工大学理学院,北京100081

出　　处：《北京理工大学学报》2007年第7期565-567,共3页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(10572021)

摘　　要：研究同一个完整非保守系统,在广义力不同表达时的Noether对称性、Lie对称性和形式不变性所发生的变化.结果表明,Noether对称性中的规范函数有变化,但Noether守恒量不变;Lie对称性没有任何变化;形式不变性有很大变化.并给出了形式不变的条件.For the same holonomic nonconservative system, the expression of the Lagrange equations under different generalized forces appear different. For different expressions of the equations, the Noether symmetry, the Lie symmetry and the form invariance can be changed. The result of this paper expresses that the gauge function in the Noether identity is changed, but the Noether conserved quantity is not changed. In this case, the Lie symmetry is not changed and the form invariance is changed. The condition under which the form invariance is changed is given.

关 键 词：完整非保守系统 NOETHER对称性 LIE对称性 形式不变性 

分 类 号：O316[理学—一般力学与力学基础]