%0 Journal Article
%T Conformal invariance, Noether symmetry and Lie symmetry for holonomic mechanical system with variable mass<br>变质量完整系统的共形不变性和Noether对称性及Lie对称性
%A Chen Rong
%A Xu Xue-Jun
%A <br>陈蓉
%A 许学军
%J 物理学报
%D 2012
%I 
%X The conformal invariance of holonomic mechanical system with variable mass is studied. Firstly, the definition of conformal invariance for holonomic mechanical system with variable mass is given; secondly, the relation between the conformal invariance and the Noether symmetry is discussed, and the Noether conserved quantity led by the conformal invariance is obtained; finally, the relation between the conformal invariance and the Lie symmetry is discussed, and the Hojman conserved quantity caused by the conformal invariance of the systems is obtained. In the paper, an example is given to illustrate the application of the results.
%K variable mass holonomic system
%K conformal invariance
%K conformal factor
%K conserved quantity<br>变质量完整系统
%K 共形不变性
%K 共形因子
%K 守恒量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=4C92C33EB4B06FC54301B0B966F1D74D&yid=99E9153A83D4CB11&vid=1D0FA33DA02ABACD&iid=0B39A22176CE99FB&sid=9B6179F858BC23D2&eid=9B6179F858BC23D2&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=10