Methods for Generating Quasi-Exactly Solvable Potentials

Authors

Asim Gangopadhyaya, Loyola University ChicagoFollow
Avinash Khare, Sachivalaya Marg
Uday P. Sukhatme, University of Illinois at ChicagoFollow

Document Type

Article

Publication Date

12-1995

Publication Title

Physics Letters A

Volume

4-6

Issue

4

Abstract

We describe three different methods for generating quasi-exactly solvable potentials, for which a finite number of eigenstates are analytically known. The three methods are respectively based on (i) a polynomial ansatz for wave functions; (ii) point canonical transformations; (iii) supersymmetric quantum mechanics. The methods are rather general and give considerably richer results than those available in the current literature.

Comments

Author Posting. © Gangopadhyaya, 1995. This is the author's version of the work. It is posted here by permission of the authors for personal use, not for redistribution.The definitive version was published in Physics Letters A, Volume 4-6, Issue 4, December 1995. http://dx.doi.org/10.1016/0375-9601(95)00824-3

Recommended Citation

Gangopadhyaya, A, A Khare, and UP Sukhatme. "Methods for Generating Quasi-Exactly Solvable Potentials." Physics Letters A 4-6(4), 1995.

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

Copyright Statement

© Gangopadhyaya, 1995.