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Ground eigenvalue and eigenfunction of a spin-weighted spheroidal wave equation in low frequencies |
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| Authors: | Tang Wen-Lin and Tian Gui-Hua |
| Affiliation: | School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China |
| 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 |
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