Verification of the spin-weighted spheroidal equation in the case of s=1

doi:10.1088/1674-1056/21/4/040402

中国物理B ›› 2012, Vol. 21 ›› Issue (4): 40402-040402.doi: 10.1088/1674-1056/21/4/040402

张晴,田贵花,孙越,董锟

收稿日期:2011-10-24 修回日期:2011-11-24 出版日期:2012-02-29 发布日期:2012-02-29
通讯作者: 董锟, E-mail:woailiuyanbin1@126.com E-mail:woailiuyanbin1@126.com

Verification of the spin-weighted spheroidal equation in the case of s=1

Zhang Qing(张晴), Tian Gui-Hua(田贵花), Sun Yue(孙越), and Dong Kun(董锟)^†

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

Received:2011-10-24 Revised:2011-11-24 Online:2012-02-29 Published:2012-02-29
Contact: Dong Kun, E-mail:woailiuyanbin1@126.com E-mail:woailiuyanbin1@126.com
Supported by:
Project supported by the National Natural Science Foundation of China(Grant Nos.10875018 and 10773002)

摘要/Abstract

Abstract: The spin-weighted spheroidal equation in the case of s=1 is studied. By transforming the independent variables, we make it take the Schrödinger-like form. This Schrödinger-like equation is very interesting in itself. We investigate it by using super-symmetric quantum mechanics and obtain the ground eigenvalue and eigenfunction, which are consistent with the results previously obtained.

Key words: spheroidal wave equation, supersymmetric quantum mechanics, super-potential, eigenvalue and eigenfunction

中图分类号: (Post-Newtonian approximation; perturbation theory; related Approximations)

04.25.Nx

03.65.Ge (Solutions of wave equations: bound states) 02.30.Gp (Special functions)

张晴,田贵花,孙越,董锟. [J]. 中国物理B, 2012, 21(4): 40402-040402.

Zhang Qing(张晴), Tian Gui-Hua(田贵花), Sun Yue(孙越), and Dong Kun(董锟) . Verification of the spin-weighted spheroidal equation in the case of s=1[J]. Chin. Phys. B, 2012, 21(4): 40402-040402.

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Verification of the spin-weighted spheroidal equation in the case of s=1

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