Solve the spin-weighted spheroidal wave equation

doi:10.1088/1674-1056/22/6/060203

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

Received: 16 October 2012
Revised: 15 December 2012
Accepted manuscript online:

PACS:	02.30.Gp	(Special functions)
	03.65.Ge	(Solutions of wave equations: bound states)
	11.30.Pb	(Supersymmetry)

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

Corresponding Authors: Li Yu-Zhen, Tian Gui-Hua, Dong Kun
E-mail: taijichen1@126.com; hua2007@126.com; woailiuyanbin1@126.com

Cite this article:

Li Yu-Zhen (李玉祯), Tian Gui-Hua (田贵花), Dong Kun (董锟) Solve the spin-weighted spheroidal wave equation 2013 Chin. Phys. B 22 060203

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