New WKB method in supersymmetry quantum mechanics

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

中国物理B ›› 2012, Vol. 21 ›› Issue (4): 40301-040301.doi: 10.1088/1674-1056/21/4/040301

田贵花

收稿日期:2011-09-20 修回日期:2011-11-16 出版日期:2012-02-29 发布日期:2012-02-29
通讯作者: 田贵花, E-mail:hua2007@126.com E-mail:hua2007@126.com

New WKB method in supersymmetry quantum mechanics

Tian Gui-Hua(田贵花)^†

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2011-09-20 Revised:2011-11-16 Online:2012-02-29 Published:2012-02-29
Contact: Tian Gui-Hua, E-mail:hua2007@126.com E-mail:hua2007@126.com
Supported by:
Project supported by the National Natural Science Foundation of China(Grant No.10875018)

摘要/Abstract

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.

Key words: new WKB method, super-potential, shape-invariance, eigenvalues and eigenfunctions

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

02.30.Gp (Special functions) 11.30.Pb (Supersymmetry)

田贵花. [J]. 中国物理B, 2012, 21(4): 40301-040301.

Tian Gui-Hua(田贵花) . New WKB method in supersymmetry quantum mechanics[J]. Chin. Phys. B, 2012, 21(4): 40301-040301.

参考文献 19

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[5]	Tian G H and Zhong S Q 2009 “Investigation of the Recurrence Relations for the Spheroidal Wave Functions” arXiv: gr-qc/0906.4687v3
[6]	Tian G H and Zhong S Q 2009 “Study the Spheroidal Wave Functions by SUSY Method” arXiv: gr-qc/0906.4685v3
[7]	Tian G H and Zhong S Q 2010 Chin. Phys. Lett. 27 040305
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[15]	Linet B 1985 Gen. Rel. Grav. 17 1109
[16]	Gott J R 1985 Astrophys. J. 288 422
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