Supersymmetry and the relationship between a class of singular potentials in arbitrary dimensions

The eigenvalues of the potentials \(V_{1}(r)=\frac{A_{1}}{r}+\frac{A_{2}}{r^{2}}+\frac{A_{3}}{r^{3}}+\frac{A_{4 }}{r^{4}}\) and \(V_{2}(r)=B_{1}r^{2}+\frac{B_{2}}{r^{2}}+\frac{B_{3}}{r^{4}}+\frac{B_{4}}{r^ {6}}\), and of the special cases of these potentials such as the Kratzer and Goldman-Krivchenk...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2002-11
Main Authors: Gonul, B, Ozer, O, Kocak, M, Tutcu, D, Cancelik, Y
Format: Article
Language:English
Subjects:
Dependence
Eigenvalues
Supersymmetry
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The eigenvalues of the potentials \(V_{1}(r)=\frac{A_{1}}{r}+\frac{A_{2}}{r^{2}}+\frac{A_{3}}{r^{3}}+\frac{A_{4 }}{r^{4}}\) and \(V_{2}(r)=B_{1}r^{2}+\frac{B_{2}}{r^{2}}+\frac{B_{3}}{r^{4}}+\frac{B_{4}}{r^ {6}}\), and of the special cases of these potentials such as the Kratzer and Goldman-Krivchenkov potentials, are obtained in N-dimensional space. The explicit dependence of these potentials in higher-dimensional space is discussed, which have not been previously covered.
ISSN:2331-8422
DOI:10.48550/arxiv.0106142