The integral property of the spheroidal wave functions
Quantum Physics
2010-11-22 v3
Abstract
The perturbation method in supersymmetric quantum mechanics (SUSYQM) is used to study whether the spheroidal equations have the shape-invariance property. Expanding the super-potential term by term in the parameter alpha and solving it, we find that the superpotential loses its shape-invariance property upon to the second term. This first means that we could not solve the spheroidal problems by the SUSQM; further it is not unreasonable to say they are non-solvable in some sense.
Keywords
Cite
@article{arxiv.0906.5563,
title = {The integral property of the spheroidal wave functions},
author = {Guihua Tian and Shuquan Zhong},
journal= {arXiv preprint arXiv:0906.5563},
year = {2010}
}
Comments
This paper has been withdrawn by the authors. In later study, we found the conclusion is wrong in some way