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Article
The Supersymmetric WKB Formalism Is Not Exact for All Additive Shape Invariant Potentials
Journal of Physics A: Mathematical and Theoretical
  • Jonathan Bougie, Loyola University Chicago
  • Asim Gangopadhyaya, Loyola University Chicago
  • Constantin Rasinariu, Loyola University Chicago
Document Type
Article
Publication Date
8-8-2018
Publisher Name
IOP Publishing
Disciplines
Abstract

Following the verification of the conjecture made by Comtet et al 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.

Comments

This is the version of the article before peer review or editing, as submitted by an author to 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 https://doi.org/10.1088/1751-8121/aad3db

Creative Commons License
Creative Commons Attribution-Noncommercial-No Derivative Works 3.0
Citation Information
Jonathan Bougie, Asim Gangopadhyaya and Constantin Rasinariu. "The Supersymmetric WKB Formalism Is Not Exact for All Additive Shape Invariant Potentials" Journal of Physics A: Mathematical and Theoretical Vol. 51 Iss. 37 (2018)
Available at: http://works.bepress.com/constantin-rasinariu/41/