|
|
Solve the spin-weighted spheroidal wave equation |
Li Yu-Zhen (李玉祯), Tian Gui-Hua (田贵花), Dong Kun (董锟) |
School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China |
|
|
Abstract In this paper we solve spin-weighted spheroidal wave equations through super-symmetric quantum mechanics with a different expression of the super-potential. We use the shape invariance property to compute the "excited" eigenvalues and eigenfunctions. The results are beneficial to researchers for understanding the properties of the spin-weighted spheroidal wave more deeply, especially its integrability.
|
Received: 16 October 2012
Revised: 15 December 2012
Accepted manuscript online:
|
PACS:
|
02.30.Gp
|
(Special functions)
|
|
03.65.Ge
|
(Solutions of wave equations: bound states)
|
|
11.30.Pb
|
(Supersymmetry)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10875018). |
Corresponding Authors:
Li Yu-Zhen, Tian Gui-Hua, Dong Kun
E-mail: taijichen1@126.com; hua2007@126.com; woailiuyanbin1@126.com
|
Cite this article:
Li Yu-Zhen (李玉祯), Tian Gui-Hua (田贵花), Dong Kun (董锟) Solve the spin-weighted spheroidal wave equation 2013 Chin. Phys. B 22 060203
|
[1] |
Teukolsky S A 1972 Phys. Rev. Lett. 29 1114
|
[2] |
Teukolsky S A 1973 Astrophys. J. 185 635
|
[3] |
Leaver E 1986 J. Math. Phys. 27 1238
|
[4] |
Tian G H 2005 Chin. Phys. Lett. 22 3013
|
[5] |
Infeld L and Hull T E 1951 Rev. Mod. Phys. 23 21
|
[6] |
Tian G H 2010 Chin. Phys. Lett. 27 030308
|
[7] |
Tian G H and Zhong S Q 2010 Chin. Phys. Lett. 27 040305
|
[8] |
Tian G H and Li Z Y 2011 Sci. China G 54 1775
|
[9] |
Dong K, Tian G H and Sun Y 2011 Chin. Phys. B 20 071101
|
[10] |
Tang W L and Tian G H 2011 Chin. Phys. B 20 050301
|
[11] |
Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 268
|
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
|
|
|