The Supersymmetric WKB Formalism is Not Exact for All Additive Shape Invariant Potentials
Abstract
Following the verification of the conjecture made by Comtet, Bandrauk and Campbell that the supersymmetry-inspired semiclassical method known as SWKB is exact for the conventional additive shape invariant potentials, it was widely believed that SWKB yields exact results for all additive shape invariant potentials. In this paper we present a concrete example of an additive shape invariant potential for which the SWKB method fails to produce exact results.
Keywords
Cite
@article{arxiv.1802.00068,
title = {The Supersymmetric WKB Formalism is Not Exact for All Additive Shape Invariant Potentials},
author = {Jonathan Bougie and Asim Gangopadhyaya and Constantin Rasinariu},
journal= {arXiv preprint arXiv:1802.00068},
year = {2019}
}
Comments
This is an author-created, un-copyedited version of an article published in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1751-8121/aad3db