New WKB method in supersymmetry quantum mechanics

doi:10.1088/1674-1056/21/4/040301

Abstract In this paper, we combine the perturbation method in supersymmetric quantum mechanics with the WKB method to restudy an angular equation coming from the wave equations for a Schwarzschild black hole with a straight string passing through it. This angular equation serves as a naive model for our investigation of the combination of supersymmetric quantum mechanics and the WKB method, and will provide valuable insight for our further study of the WKB approximation in real problems, like the one in spheroidal equations, etc.

Keywords: new WKB method super-potential shape-invariance eigenvalues and eigenfunctions

Received: 20 September 2011
Revised: 16 November 2011
Accepted manuscript online:

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

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

Corresponding Authors: Tian Gui-Hua, E-mail:hua2007@126.com
E-mail: hua2007@126.com

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Tian Gui-Hua(田贵花) New WKB method in supersymmetry quantum mechanics 2012 Chin. Phys. B 21 040301

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[1]	Analytic solutions of the ground and excited states of the spin-weighted spheroidal equation in the case of s=2 Sun Yue(孙越), Tian Gui-Hua(田贵花), and Dong Kun(董锟) . Chin. Phys. B, 2012, 21(4): 040401.
[2]	Verification of the spin-weighted spheroidal equation in the case of s=1 Zhang Qing(张晴), Tian Gui-Hua(田贵花), Sun Yue(孙越), and Dong Kun(董锟) . Chin. Phys. B, 2012, 21(4): 040402.
[3]	Spin-weighted spheroidal equation in the case of s=1 Sun Yue(孙越), Tian Gui-Hua(田贵花), and Dong Kun(董锟). Chin. Phys. B, 2011, 20(6): 061101.
[4]	Ground eigenvalue and eigenfunction of a spin-weighted spheroidal wave equation in low frequencies Tang Wen-Lin (唐文林), Tian Gui-Hua (田贵花). Chin. Phys. B, 2011, 20(5): 050301.
[5]	Solving ground eigenvalue and eigenfunction of spheroidal wave equation at low frequency by supersymmetric quantum mechanics method Tang Wen-Lin(唐文林) and Tian Gui-Hua(田贵花). Chin. Phys. B, 2011, 20(1): 010304.

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