Document Type
Presentation
Publication Date
5-14-1998
Publication Title
Supersymmetry and Integrable Models
Volume
502
Abstract
Exactly solvable potentials of nonrelativistic quantum mechanics are known to be shape invariant. For these potentials, eigenvalues and eigenvectors can be derived using well known methods of supersymmetric quantum mechanics. The majority of these potentials have also been shown to possess a potential algebra, and hence are also solvable by group theoretical techniques. In this paper, for a subset of solvable problems, we establish a connection between the two methods and show that they are indeed equivalent.
Identifier
9805042
Recommended Citation
Gangopadhyaya, A, J Mallow, and U Sukhatme. "Shape invariance and its connection to potential algebra." http://arxiv.org/pdf/quant-ph/9805042.pdf
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Copyright Statement
© 1998 The Authors.
Comments
Author Posting. © Asim Gangopadhyaya, Jeffry Mallow, Uday Sukhatme, 1998. This presentation is posted here by permission of the authors for personal use, not for redistribution. The presentation was published online on 14 May 1998. http://arxiv.org/pdf/quant-ph/9805042.pdf