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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 |
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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.
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Received: 29 August 2010
Revised: 10 January 2011
Accepted manuscript online:
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PACS:
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03.65.Ge
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(Solutions of wave equations: bound states)
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02.30.Gp
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(Special functions)
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11.30.Pb
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(Supersymmetry)
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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] |
Teukolsky S A 1973 J. Astrophys. 185 635
|
[2] |
Slepian D and Pollak H O 1961 it Bell. Syst. Tech. J. 40 43
|
[3] |
Tian G H 2005 Chin. Phys. Lett. 22 3013
|
[4] |
Berti E, Cardoso V and Casals M 2006 Phys. Rev. D 73 024013
|
[5] |
Casals M and Ottewill A 2005 Phys. Rev. D 71 064025
|
[6] |
Chandrasekhar S 1983 The Mathematical Theory of Black Holes (Oxford: Clarendon press) pp. 34–53, 85–93, 139–150, 273–99, 430
|
[7] |
Tang W L and Tian G H 2010 Chin. Phys. B 19 010304
|
[8] |
Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 268
|
[9] |
Infeld L and Hull T E 1951 Rev. Mod. Phys. 23 21
|
[10] |
Tian G H and Zhong S Q 2010 Chin. Phys. Lett. 27 040305
|
[11] |
Wang Z X and Guo D R 2000 Special Function (Beijing: Peking University Press) Chapts. 2, 3, 4
|
[12] |
Andrews G E, Askey R A and Roy R 1993 Special Function (Cambridge: Cambridge University Press) Chapts. 1, 2, 3 endfootnotesize
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