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Title: Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials

We introduce a method for constructing Darboux (or supersymmetric) pairs of pseudoscalar and scalar Dirac potentials that are associated with exceptional orthogonal polynomials. Properties of the transformed potentials and regularity conditions are discussed. As an application, we consider a pseudoscalar Dirac potential related to the Schrödinger model for the rationally extended radial oscillator. The pseudoscalar partner potentials are constructed under the first- and second-order Darboux transformations.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN 46408 (United States)
  2. (United States)
  3. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108 (India)
Publication Date:
OSTI Identifier:
22403405
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 349; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIRAC EQUATION; POLYNOMIALS; POTENTIALS; PSEUDOSCALARS; SCHROEDINGER PICTURE; SUPERSYMMETRY