Solving the spin-weighted spheroidal wave equation  

Solving the spin-weighted spheroidal wave equation

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作  者:李玉祯 田贵花 董锟 

机构地区:[1]School of Sciences,Beijing University of Posts and Telecommunications

出  处:《Chinese Physics B》2013年第6期110-114,共5页中国物理B(英文版)

基  金:supported by the National Natural Science Foundation of China (Grant No. 10875018)

摘  要: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.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.

关 键 词:spin-weighted spherical wave equation supersymmetric quantum mechanics shape invariance recurrence relation 

分 类 号:O175[理学—数学]

 

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