Analytic solutions of the ground and excited states of the spin-weighted spheroidal equation in the case of s=2  

作　　者：孙越 田贵花 董锟 

机构地区：[1]School of Science,Beijing University of Posts And Telecommunications,Beijing 100876,China

出　　处：《Chinese Physics B》2012年第4期106-116,共11页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 10875018 and 10773002)

摘　　要：By using the super-symmetric quantum mechanics （SUSYQM） method, this paper obtains the analytical solutions for the spin-weighted spheroidal wave equation in the case of s = 2. Based on the derived W0 to W4 the general form for the n-th-order super-potential is summarized and is proved correct by mathematical induction. Hence the ground eigenvalue problem is completely solved. Particularly, the novel solutions of the excited state are investigated according to the shape-invariance property.By using the super-symmetric quantum mechanics （SUSYQM） method, this paper obtains the analytical solutions for the spin-weighted spheroidal wave equation in the case of s = 2. Based on the derived W0 to W4 the general form for the n-th-order super-potential is summarized and is proved correct by mathematical induction. Hence the ground eigenvalue problem is completely solved. Particularly, the novel solutions of the excited state are investigated according to the shape-invariance property.

关 键 词：spheroidal wave equation supersymmetric quantum mechanics super-potential eigen-value and eigenfunetion 

分 类 号：O413.1[理学—理论物理]