Generalized Langer Correction and the Exactness of WKB for all Conventional Potentials

Authors

Asim Gangopadhyaya, Loyola University ChicagoFollow
Jonathan Bougie, Loyola University ChicagoFollow
Constantin Rasinariu, Loyola University ChicagoFollow

Document Type

Article

Publication Date

5-11-2023

Publication Title

Physics Letters A

Volume

476

Pages

1-28

Publisher Name

Elsevier

Abstract

In this paper we investigate the exactness of the WKB quantization condition for translationally shape invariant systems. In particular, using the formalism of supersymmetric quantum mechanics, we generalize the Langer correction and show that it generates the exact quantization condition for all conventional potentials. We also prove that this correction is related to the previously proven exactness of SWKB for these potentials.

Comments

Author Posting. © Elsevier, 2023. This is the author's version of the work. It is posted here by permission of Elsevier for personal use, not for redistribution. The definitive version was published in Physics Letters A, VOL. 476, (July 15, 2023), https://doi.org/10.1016/j.physleta.2023.128878.

Recommended Citation

Gangopadhyaya, Asim; Bougie, Jonathan; and Rasinariu, Constantin, "Generalized Langer Correction and the Exactness of WKB for all Conventional Potentials" (2023). Physics: Faculty Publications and Other Works. 113.
https://ecommons.luc.edu/physics_facpubs/113

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Copyright Statement

© Elsevier, 2023.