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

• GENERAL • 上一篇    下一篇

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)   

  1. 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)

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)