%0 Journal Article
%T Hamiltonian spectrum for three coupled harmonic oscillators in non-commutative space<br>非对易空间的三模谐振子能谱
%A Zhang Xiu-Lan
%A Liu Heng
%A Yu Hai-Jun
%A Zhang Wen-Hai
%A <br>张秀兰
%A 刘恒
%A 余海军
%A 张文海
%J 物理学报
%D 2011
%I 
%X In non-commutative spaces the invariant eigen-operator method is used to derive and calculate Hamiltonian spectra for three kinds of three coupled harmonic oscillators: no coupling, coordinate coupling and momentum coupling. According to the comparison with the results in commutative space, it is shown that when the non-commutative parameter is zero the obtained energy levels are equal to the energy levels in commutative space. Finally the effect of the coupling coefficient on Hamiltonian spectrum in non-commutative space is discussed.
%K invariant eigen-operator method
%K non-commutation spaces
%K Hamiltonian spectrum for three coupled harmonic oscillators
%K the energy levels<br>不变本征算符
%K 非对易空间
%K 三模谐振子能谱
%K 能级差
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=549FF81115C88B66E943AAC1169A3DE5&yid=9377ED8094509821&vid=BFE7933E5EEA150D&iid=E158A972A605785F&sid=340AC2BF8E7AB4FD&eid=339D79302DF62549&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=19