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

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 l...

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Published inChinese physics B Vol. 20; no. 5; pp. 33 - 43
Main Author 唐文林 田贵花
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.05.2011
Subjects
Eigenfunctions
Eigenvalues
Grounds
Low frequencies
Mathematical analysis
Perturbation methods
Quantum mechanics
Wave functions
低频率
加权
地面
波方程
特征值
特征函数
自旋
超对称量子力学
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ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/20/5/050301

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Summary: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.
Bibliography:spin-weighted spheroidal wave equation, perturbation method in supersymmetric quantum mechanics, super-potential, eigenvalue and eigenfunction
11-5639/O4
Tang Wen-Lin, Tian Gui-Hua School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China （Received 29 August 2010; revised manuscript received 10 January 2011）
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.
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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/5/050301