Verification of the spin-weighted spheroidal equation in the case of s=1

doi:10.1088/1674-1056/21/4/040402

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

Received: 24 October 2011
Revised: 24 November 2011
Accepted manuscript online:

PACS:	04.25.Nx	(Post-Newtonian approximation; perturbation theory; related Approximations)
	04.70.s
	03.65.Ge	(Solutions of wave equations: bound states)
	02.30.Gp	(Special functions)

Fund: Project supported by the National Natural Science Foundation of China(Grant Nos.10875018 and 10773002)

Corresponding Authors: Dong Kun, E-mail:woailiuyanbin1@126.com
E-mail: woailiuyanbin1@126.com

Cite this article:

Zhang Qing(张晴), Tian Gui-Hua(田贵花), Sun Yue(孙越), and Dong Kun(董锟) Verification of the spin-weighted spheroidal equation in the case of s=1 2012 Chin. Phys. B 21 040402

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