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

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

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.

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

Received: 29 August 2010
Revised: 10 January 2011
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	02.30.Gp	(Special functions)
	11.30.Pb	(Supersymmetry)

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

Cite this article:

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 2011 Chin. Phys. B 20 050301

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[1]	New WKB method in supersymmetry quantum mechanics Tian Gui-Hua(田贵花) . Chin. Phys. B, 2012, 21(4): 040301.
[2]	Analytic solutions of the ground and excited states of the spin-weighted spheroidal equation in the case of s=2 Sun Yue(孙越), Tian Gui-Hua(田贵花), and Dong Kun(董锟) . Chin. Phys. B, 2012, 21(4): 040401.
[3]	Verification of the spin-weighted spheroidal equation in the case of s=1 Zhang Qing(张晴), Tian Gui-Hua(田贵花), Sun Yue(孙越), and Dong Kun(董锟) . Chin. Phys. B, 2012, 21(4): 040402.
[4]	Spin-weighted spheroidal equation in the case of s=1 Sun Yue(孙越), Tian Gui-Hua(田贵花), and Dong Kun(董锟). Chin. Phys. B, 2011, 20(6): 061101.
[5]	Solving ground eigenvalue and eigenfunction of spheroidal wave equation at low frequency by supersymmetric quantum mechanics method Tang Wen-Lin(唐文林) and Tian Gui-Hua(田贵花). Chin. Phys. B, 2011, 20(1): 010304.

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

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