Exact Solutions of the Schroedinger Equation: Connection between Supersymmetric Quantum Mechanics and Spectrum Generating Algebras

Authors

Asim Gangopadhyaya, Loyola University ChicagoFollow
Jeffrey Mallow, Loyola University ChicagoFollow
C. Rasinariu, Columbia College ChicagoFollow
Uday P. Sukhatne, University of Illinois at ChicagoFollow

Document Type

Article

Publication Date

4-2001

Publication Title

Chinese Journal of Physics

Volume

39

Issue

2

Abstract

Using supersymmetric quantum mechanics, one can obtain analytic expressions for the eigenvalues and eigenfunctions for all nonrelativistic shape invariant Hamiltonians. These Hamiltonians also possess spectrum generating algebras and are hence solvable by an independent, group theoretical method. In this paper, we demonstrate the equivalence of the two methods of solution, and review related progress in this field.

Comments

Author Posting © The Physical Society of the Republic of China, 2001. This article is posted here by permission of the Physical Society of the Republic of China for personal use, not for redistribution. The article was published in Chinese Journal of Physics, Volume 39, Issue 2, April 2001.

Recommended Citation

Gangopadhyaya, A, J Mallow, R Asinariu, and U Sukhatme. "Exact solutions of the schroedinger equation: connection between supersymmetric quantum mechanics and spectrum generating algebras" in Chinese Journal of Physics 39(2), 2001.

Creative Commons License

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

Copyright Statement

© The Physical Society of the Republic of China, 2001.