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Verification of the spin-weighted spheroidal equation in the case of s=1
Authors:Zhang Qing  Tian Gui-Hua  Sun Yue  Dong Kun
Institution:School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China
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.
Keywords:spheroidal wave equation  supersymmetric quantum mechanics  super-potential  eigenvalue and eigenfunction
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