%0 Journal Article
%T Conformal invariance and conserved quantity of Lagrange systems under Lie point transformation<br>Lagrange系统Lie点变换下的共形不变性与守恒量
%A Cai Jian-Le
%A Mei Feng-Xiang
%A <br>蔡建乐
%A 梅凤翔
%J 物理学报
%D 2008
%I 
%X Conformal invariance and conserved quantities of Lagrange system under Lie point transformation are studied. Firstly, the definition of conformal invariance and determining equation for the Lagrange system are provided. Secondly, the relationship between the system's conformal invariance and Lie symmetry are discussed; the necessary and sufficient condition on which the system's conformal invariance would be Lie symmetry under the infinitesimal one-parameter point transformation group is deduced; and the conserved quantities of the system are given. Lastly, an illustration example is introduced.
%K Lagrange system
%K Lie point transformation
%K conformal invariance
%K conserved quantity<br>Lagrange系统
%K Lje点变换
%K 共形不变性
%K 守恒量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=DBFC7B447CB3EC8BA0B39B3B582F650A&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=9CF7A0430CBB2DFD&sid=59C0B3FE8F2325F5&eid=0C1E266A6D955CDB&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0