%0 Journal Article
%T Discussion on the calculation of radial matrix elements of three-dimensional isotropic oscillator<br>关于三维各向同性谐振子径向矩阵元计算的讨论
%A Di Yao-Min
%A <br>狄尧民
%J 物理学报
%D 2003
%I 
%X A concise general formula of the radial matrix element of the three-dimensional isotropic oscillator is derived using the properties of the general Laguerre polynomials. Some important special cases, such as the average value of the integer power of radial vector, the matrix element of the electric dipole transition and the element of the electric quadrupole transition, are obtained from the general formula.
%K three-dimensional isotropic oscillator
%K radial matrix element
%K general Laguerre polynomials
%K dipole transition
%K quadrupole transition<br>三维各向同性谐振子，
%K 径向矩阵元，
%K 广义Laguerre多项式，
%K 偶极跃迁，
%K 四极跃迁
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=5D022629F008324C&yid=D43C4A19B2EE3C0A&vid=286FB2D22CF8D013&iid=E158A972A605785F&sid=CFBDB06850C21CC6&eid=7B927C26AC9ED104&journal_id=1000-3290&journal_name=物理学报&referenced_num=13&reference_num=7