2009/06/30 by Guihua Tian, Tian, Guihua, Shuquan Zhong +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.48550/arxiv.0906.5563
This paper has been withdrawn by the authors. In later study, we found the conclusion is wrong in some way
openalex publication_date 2009/06/30 · arxiv created 2010/11/19 · arxiv updated 2010/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.