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

doi:10.1088/1674-1056/20/5/050301

中国物理B ›› 2011, Vol. 20 ›› Issue (5): 50301-050301.doi: 10.1088/1674-1056/20/5/050301

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

唐文林, 田贵花

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

收稿日期:2010-08-29 修回日期:2011-01-10 出版日期:2011-05-15 发布日期:2011-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875018 and 10773002).

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

Tang Wen-Lin (唐文林), Tian Gui-Hua (田贵花)

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2010-08-29 Revised:2011-01-10 Online:2011-05-15 Published:2011-05-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875018 and 10773002).

摘要/Abstract

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.

Abstract: 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.

Key words: spin-weighted spheroidal wave equation, perturbation method in supersymmetric quantum mechanics, super-potential, eigenvalue and eigenfunction

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

02.30.Gp (Special functions) 11.30.Pb (Supersymmetry)

唐文林, 田贵花. Ground eigenvalue and eigenfunction of a spin-weighted spheroidal wave equation in low frequencies[J]. 中国物理B, 2011, 20(5): 50301-050301.

Tang Wen-Lin (唐文林), Tian Gui-Hua (田贵花). Ground eigenvalue and eigenfunction of a spin-weighted spheroidal wave equation in low frequencies[J]. Chin. Phys. B, 2011, 20(5): 50301-050301.

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

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

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