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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)† |
School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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Abstract The spin-weighted spheroidal equation in the case of s=1 is studied. By transforming the independent variables, we make it take the Schrödinger-like form. This Schrödinger-like equation is very interesting in itself. We investigate it by using super-symmetric quantum mechanics and obtain the ground eigenvalue and eigenfunction, which are consistent with the results previously obtained.
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Received: 24 October 2011
Revised: 24 November 2011
Accepted manuscript online:
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PACS:
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04.25.Nx
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(Post-Newtonian approximation; perturbation theory; related Approximations)
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04.70.s
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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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Fund: Project supported by the National Natural Science Foundation of China(Grant Nos.10875018 and 10773002) |
Corresponding Authors:
Dong Kun, E-mail:woailiuyanbin1@126.com
E-mail: woailiuyanbin1@126.com
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Cite this article:
Zhang Qing(张晴), Tian Gui-Hua(田贵花), Sun Yue(孙越), and Dong Kun(董锟) Verification of the spin-weighted spheroidal equation in the case of s=1 2012 Chin. Phys. B 21 040402
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