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

The spin-weighted spheroidal equation in the case of s = 1 is studied. By transforming the independent variables, we make it take the Schr6dinger-like form. This Schr6dinger-like equation is very interesting in itself. We investigate it by using super-symmetric quantum mechanics and obtain the groun...

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Bibliographic Details
Published in:Chinese physics B 2012-04, Vol.21 (4), p.117-125
Main Author: 张晴 田贵花 孙越 董锟
Format: Article
Language:English
Subjects:
Eigenfunctions
Eigenvalues
Grounds
Independent variables
Mathematical analysis
Quantum mechanics
加权
方程
核查
特征函数
独立变量
球状
自旋
超对称量子力学
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Summary:The spin-weighted spheroidal equation in the case of s = 1 is studied. By transforming the independent variables, we make it take the Schr6dinger-like form. This Schr6dinger-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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/4/040402