Shape Invariance and the Exactness of Quantum Hamilton-Jacobi Formalism

Authors

Charles Cherqui, Loyola University Chicago
Yevgeny Binder, Loyola University Chicago, Law School
Asim Gangopadhyaya, Loyola University ChicagoFollow

Document Type

Article

Publication Date

9-25-2007

Publication Title

Physics Letters A

Volume

372

Issue

9

Abstract

Quantum Hamilton-Jacobi Theory and supersymmetric quantum mechanics (SUSYQM) are two parallel methods to determine the spectra of a quantum mechanical systems without solving the Schr ̈odinger equation. It was recently shown that the shape invariance, which is an integrability condition in SUSYQM formalism, can be utilized to develop an iterative algorithm to determine the quantum momentum functions. In this paper, we show that shape invariance also suffices to determine the eigenvalues in Quantum Hamilton-Jacobi Theory.

Identifier

0708.2455

Comments

Author Posting. © 2007. This article is posted here by permission Elsevier for personal use, not for redistribution. The article was published in Physical Letters A 372 (2008), 1406-1415. http://dx.doi.org/10.1016/j.physleta.2007.10.002

Recommended Citation

Cherqui, C, Y Binder, and A Gangopadhyaya. "Shape invariance and the exactness of quantum Hamilton-Jacobi formalism." http://arxiv.org/pdf/0708.2455.pdf

Creative Commons License

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

Copyright Statement

© 2007 The Authors.