%0 Journal Article
%T The third independent conserved quantity and its symmetry of the two-dimensional anisotropic harmonic oscillator<br>二维各向异性谐振子的第三个独立守恒量及其对称性
%A Lou Zhi-Mei
%A Mei Feng-Xiang
%A <br>楼智美
%A 梅凤翔
%J 物理学报
%D 2012
%I 
%X The energy and the two partial energies of two-dimensional anisotropic harmonic oscillator are conserved quantities,but only two of them are independent.The system possesses the third independent conserved quantity when the ω1/ω2 is a rational number.The extended Prelle-Singer method is used to find the third independent conserved quantity for the five typical two-dimensional anisotropic harmonic oscillators.The Noether symmetry and the Lie symmetry of the third independent conserved quantities are also discussed.
%K extended P-S method
%K two-dimensional anisotropic harmonic oscillator
%K conserved quantity
%K symmetry<br>扩展Prelle-Singer法
%K 二维各向异性谐振子
%K 守恒量
%K 对称性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=78F360FC29C47911C95C1EA068EF5237&yid=99E9153A83D4CB11&vid=1D0FA33DA02ABACD&iid=708DD6B15D2464E8&sid=C1A67DDC605A51F3&eid=C1A67DDC605A51F3&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=26