The Supersymmetric WKB Formalism Is Not Exact for All Additive Shape Invariant Potentials

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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.

Original languageAmerican English
JournalPhysics: Faculty Publications and Other Works
Volume51
Issue number37
DOIs
StatePublished - Aug 8 2018

Disciplines

  • Physics
  • Quantum Physics

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