Solve the spin-weighted spheroidal wave equation

doi:10.1088/1674-1056/22/6/060203

中国物理B ›› 2013, Vol. 22 ›› Issue (6): 60203-060203.doi: 10.1088/1674-1056/22/6/060203

Solve the spin-weighted spheroidal wave equation

李玉祯, 田贵花, 董锟

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

收稿日期:2012-10-16 修回日期:2012-12-15 出版日期:2013-05-01 发布日期:2013-05-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10875018).

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

Received:2012-10-16 Revised:2012-12-15 Online:2013-05-01 Published:2013-05-01
Contact: Li Yu-Zhen, Tian Gui-Hua, Dong Kun E-mail:taijichen1@126.com; hua2007@126.com; woailiuyanbin1@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10875018).

摘要/Abstract

摘要： 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.

关键词: spin-weighted spherical wave equation, supersymmetric quantum mechanics, shape invariance, recurrence relation

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.

Key words: spin-weighted spherical wave equation, supersymmetric quantum mechanics, shape invariance, recurrence relation

中图分类号: (Special functions)

02.30.Gp

03.65.Ge (Solutions of wave equations: bound states) 11.30.Pb (Supersymmetry)

李玉祯, 田贵花, 董锟. Solve the spin-weighted spheroidal wave equation[J]. 中国物理B, 2013, 22(6): 60203-060203.

Li Yu-Zhen (李玉祯), Tian Gui-Hua (田贵花), Dong Kun (董锟). Solve the spin-weighted spheroidal wave equation[J]. Chin. Phys. B, 2013, 22(6): 60203-060203.

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Solve the spin-weighted spheroidal wave equation

Solve the spin-weighted spheroidal wave equation

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