Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials

Journal Article · Wed Oct 15 00:00:00 EDT 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.06.016· OSTI ID:22403405

Schulze-Halberg, Axel ^[1]; Roy, Barnana ^[2]

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1. Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN 46408 (United States)
2. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108 (India)

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.

• OSTI ID: 22403405
• Journal Information: Annals of Physics (New York), Vol. 349; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIRAC EQUATION
POLYNOMIALS
POTENTIALS
PSEUDOSCALARS
SCHROEDINGER PICTURE
SUPERSYMMETRY