%0 Journal Article
%T Form invariance for Hamiltonian Ermakov systems<br>哈密顿Ermakov系统的形式不变性
%A Lou Zhi-Mei
%A <br>楼智美
%J 物理学报
%D 2005
%I 
%X In this paper, we study the Hamiltonian Ermakov systems using the method of form invariance. In terms of the form invariance of the Hamiltonian Ermakov systems,the generator of point symmetry transformations and the partial differential equations for the potential energy are obtained by comparing the coefficients of all monomials.The result indicates that under the point symmetry transformations,only the autonomous Hamiltonian Ermakov systems possess form invariance.
%K Hamiltonian Ermakov systems
%K Lagrangian function
%K point symmetry transformations
%K form invariance<br>哈密顿Ermakov系统，
%K 拉格朗日函数，
%K 点对称变换，
%K 形式不变性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=43CCA15EA774048E&yid=2DD7160C83D0ACED&vid=318E4CC20AED4940&iid=94C357A881DFC066&sid=F3D9B969D1F8BD1F&eid=CC03D50851D283F5&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=13