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Is the lowest order supersymmetric WKB approximation exact for all shape invariant potentials?

1993/11/02 by D. T. Barclay, Avinash Khare, U. Sukhatme
Physics and Astronomy · #Neutrino Physics Research #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th

paper · pdf · doi:10.1016/0375-9601(93)90452-6

published as Phys.Lett. A183 (1993) 263-266 · 8 pages

arxiv created 1993/11/02 · openalex publication_date 1993/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It has previously been proved that the lowest order supersymmetric WKB approximation reproduces the exact bound state spectrum of shape invariant potentials. We show that this is not true for a new, recently discovered class of shape invariant potentials and analyse the reasons underlying this breakdown of the usual proof.

Citations