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

Creative Commons License

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

Included in

Physics Commons

Share

COinS