Algebraic Shape Invariant Models

Authors

S Chaturvedi, University of Hyderabad
Ranabir Dutt, Visva Bharati University
Asim Gangopadhyaya, Loyola University ChicagoFollow
Prasanta K. Panigrahi, University of Hyderabad
C. Rasinariu, Columbia College ChicagoFollow
Uday P. Sukhatme, University of Illinois at ChicagoFollow

Document Type

Article

Publication Date

7-10-1998

Publication Title

Physics Letters A

Volume

251

Issue

6

Abstract

Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of parameters. This approach involves nonlinear generalizations of Lie algebras. Our work extends previous results showing the equivalence of shape invariant potentials involving translational change of parameters with standard SO (2,1) potential algebra for Natanzon type potentials.

Identifier

9807081

Comments

Author Posting © 1998. This article is posted here by permission Elsevier for personal use, not for redistribution. The article was published in Physics Letters A, Volume 251, Issue 6, 8 February 1999, Page 406. http://dx.doi.org/10.1016/S0375-9601(98)00636-7

Recommended Citation

Chaturvedi, S; Dutt, Ranabir; Gangopadhyaya, Asim; Panigrahi, Prasanta K.; Rasinariu, C.; and Sukhatme, Uday P., "Algebraic Shape Invariant Models" (1998). Physics: Faculty Publications and Other Works. 34.
https://ecommons.luc.edu/physics_facpubs/34

Creative Commons License

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

Copyright Statement

© 1998 The Authors.