|
|
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 |
|
|
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.
|
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
|
Cite this article:
Tian Gui-Hua(田贵花) New WKB method in supersymmetry quantum mechanics 2012 Chin. Phys. B 21 040301
|
[1] |
Froman N and Froman P O 1965 JWKB Approximation, Contributions to the Theory (Amsterdam: North Holland Publishing Company) Chap. 1
|
[2] |
Comtet A, Bandrauk A and Campbell D K 1985 Phys. Lett. B 150 159
|
[3] |
Khare A 1985 Phys. Lett. B 161 131
|
[4] |
Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 268
|
[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
|
[8] |
Tang W L and Tian G H 2011 Chin. Phys. B 20 010304
|
[9] |
Tang W L and Tian G H 2011 Chin. Phys. B 20 050301
|
[10] |
Tian G H 2010 Chin. Phys. Lett. 27 030308
|
[11] |
Sun Y, Tian G H and Dong K 2011 Chin. Phys. B 20 061101
|
[12] |
Dong K, Tian G H and Sun Yue 2011 Chin. Phys. B 20 071101
|
[13] |
Tian G H 2010 Chin. Phys. Lett. 27 100306
|
[14] |
Vilenkin A 1981 Phys. Rev. D 23 852
|
[15] |
Linet B 1985 Gen. Rel. Grav. 17 1109
|
[16] |
Gott J R 1985 Astrophys. J. 288 422
|
[17] |
Chen S B, Wang B and Su R K 2008 arXiv: gr-qc/0701088v2
|
[18] |
Geusa de A Marques and Bezerra V B 2002 Class. Quantum Grav. 19 985
|
[19] |
Geusa de A Marques and Bezerra V B 2001 it arXiv: gr-qc0111019 v1
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|