Ground eigenvalue and eigenfunction of a spin-weighted spheroidal wave equation in low frequencies  

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5期33-43,共11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：Spin-weighted spheroidal wave functions play an important role in the study of the linear stability of rotating Kerr black holes and are studied by the perturbation method in supersymmetric quantum mechanics. Their analytic ground eigenvalues and eigenfunctions are obtained by means of a series in low frequency. The ground eigenvalue and eigenfunction for small complex frequencies are numerically determined.Spin-weighted spheroidal wave functions play an important role in the study of the linear stability of rotating Kerr black holes and are studied by the perturbation method in supersymmetric quantum mechanics. Their analytic ground eigenvalues and eigenfunctions are obtained by means of a series in low frequency. The ground eigenvalue and eigenfunction for small complex frequencies are numerically determined.

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

分 类 号：P145.8[天文地球—天体物理] O412[天文地球—天文学]