Inter-Relations of Solvable Potentials
High Energy Physics - Theory
2009-09-25 v1
Abstract
Solvable Natanzon potentials in nonrelativistic quantum mechanics are known to group into two disjoint classes depending on whether the Schr\"odinger equation can be reduced to a hypergeometric or a confluent hypergeometric equation. All the potentials within each class are connected via point canonical transformations. We establish a connection between the two classes with appropriate limiting procedures and redefinition of parameters, thereby inter-relating all known solvable potentials.
Keywords
Cite
@article{arxiv.hep-th/9310172,
title = {Inter-Relations of Solvable Potentials},
author = {Asim Gangopadhyaya and Prasanta K. Panigrahi and Uday P. Sukhatme},
journal= {arXiv preprint arXiv:hep-th/9310172},
year = {2009}
}
Comments
6 pages, LATEX file. A figure available from authors on request