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Solving the spin-weighted spheroidal wave equation
Institution:School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China
Abstract:In this paper we solve spin-weighted spheroidal wave equations through super-symmetric quantum mechanics with a different expression of the super-potential.We use the shape invariance property to compute the "excited" eigenvalues and eigenfunctions.The results are beneficial to researchers for understanding the properties of the spin-weighted spheroidal wave more deeply,especially its integrability.
Keywords:spin-weighted spherical wave equation  supersymmetric quantum mechanics  shape invariance  recurrence relation
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