Solving ground eigenvalue and eigenfunction of spheroidal wave equation at low frequency by supersymmetric quantum mechanics method  

作　　者：唐文林 田贵花 

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

出　　处：《Chinese Physics B》2011年第1期121-127,共7页中国物理B（英文版）

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

摘　　要：The spheroidal wave functions are found to have extensive applications in many branches of physics and mathematics. We use the perturbation method in supersymmetric quantum mechanics to obtain the analytic ground eigenvalue and the ground eigenfunction of the angular spheroidal wave equation at low frequency in a series form. Using this approach, the numerical determinations of the ground eigenvalue and the ground eigenfunction for small complex frequencies are also obtained.The spheroidal wave functions are found to have extensive applications in many branches of physics and mathematics. We use the perturbation method in supersymmetric quantum mechanics to obtain the analytic ground eigenvalue and the ground eigenfunction of the angular spheroidal wave equation at low frequency in a series form. Using this approach, the numerical determinations of the ground eigenvalue and the ground eigenfunction for small complex frequencies are also obtained.

关 键 词：spheroidal wave equation the perturbation method in supersymmetric quantum mechanics super-potential eigenvalue and eigenfunction 

分 类 号：O413.1[理学—理论物理] O174.52[理学—物理]