%0 Journal Article
%T Effects of gauge transformations on symmetries of Birkhoffian system<br>规范变换对Birkhoff系统对称性的影响
%A Ding Guang-Tao
%A <br>丁光涛
%J 物理学报
%D 2009
%I 
%X The effects of gauge transformation on Noether symmetry, Lie symmetry and Mei symmetry of a Birkhoff system are studied. Under certain conditions, the system can keep its Noether symmetry and conserved quantity. The Lie symmetry and Hojman conserved quantity of the system will still remain unchanged. The Mei symmetry and a new-type conserved quantity of the system may very, and the conditions under which the Mei symmetry and the new-type conserved quantity will remain are obtained. An example is given to illustrate the application of the results.
%K Birkhoffian system
%K gauge transformation
%K symmetry
%K conserved quantity<br>Birkhoff系统，
%K 规范变换，
%K 对称性，
%K 守恒量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=4389908AE9B512280F573430B322B3EA&yid=DE12191FBD62783C&vid=9FFCC7AF50CAEBF7&iid=708DD6B15D2464E8&sid=6C65FFC19337C85E&eid=9D642F87EC0491B4&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0