Inter-Relations of Solvable Potentials

Authors

Asim Gangopadhyaya, Loyola University ChicagoFollow
Prasanta K. Panigrahi, University of Hyderabad
Uday P. Sukhatne, University of Illinois at ChicagoFollow

Document Type

Article

Publication Date

7-1-1994

Publication Title

Helvetica Physica Acta

Volume

67

Issue

4

Pages

363-368

Abstract

Solvable Natanzon potentials in nonrelativistic quantum mechanics are known to group into two disjoint classes depending on whether the Schrödinger 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.

Identifier

10.5169/seals-116652

Comments

Author Posting © 1994 Birkhäuser Verlag. This article is posted here by permission of Birkhäuser Verlag for personal use, not for redistribution. The article was published in Helvetica Physica Acta. 67(4):363-368, (1994), http://dx.doi.org/10.5169/seals-116652

Recommended Citation

Gangopadhyaya, Asim; Panigrahi, Prasanta K.; and Sukhatne, Uday P., "Inter-Relations of Solvable Potentials" (1994). Physics: Faculty Publications and Other Works. 10.
https://ecommons.luc.edu/physics_facpubs/10

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial 3.0 License

Copyright Statement

© 1994 Birkhäuser Verlag