Generalized Langer Correction and the Exactness of WKB for all Conventional Potentials
Quantum Physics
2023-05-24 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2212.13118,
title = {Generalized Langer Correction and the Exactness of WKB for all Conventional Potentials},
author = {Asim Gangopadhyaya and Jonathan Bougie and Constantin Rasinariu},
journal= {arXiv preprint arXiv:2212.13118},
year = {2023}
}
Comments
28 pages, no figures, accepted for publication in Physics Letters A