%0 Journal Article
%T Two comprehensions on Noether symmetry<br>关于Noether对称性的两种理解
%A Wu Hui-Bin
%A Mei Feng-Xiang
%A <br>吴惠彬
%A 梅凤翔
%J 物理学报
%D 2006
%I 
%X This paper presents two ways of comprehending the Noether symmetry for the Lagrange system.One is based on invariance of the Lagrangian, the other is based on invariance of the action. This paper proves that these two comprehensions are different from each other. We give the condition under which the invariance of the Lagrangian can become the invariance of the action,and the condition under which the invariance of the action can become the invariance of the Lagrangian is obtained. It is suitable that the Noether symmetry is comprehended as the invariance of the action.
%K Lagrange system
%K Noether symmetry
%K invariance of action
%K invariance of Lagrangian<br>Lagrange系统
%K Noether对称性
%K 作用量的不变性
%K Lagrange函数的不变性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=9CF274942B47C2E9&yid=37904DC365DD7266&vid=E514EE58E0E50ECF&iid=5D311CA918CA9A03&sid=DA350D9A21881BCE&eid=5DFCB2B8E52953F9&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=18