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arXiv · 1409.0999

DARBOUX partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials

Axel Schulze-Halberg·Barnana Roy
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Abstract

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 Schroeodinger model for the rationally extended radial oscillator. The pseudoscalar partner potentials are constructed under first- and second-order Darboux transformations.

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Axel Schulze-Halberg, Barnana Roy. 2014-09-03. DARBOUX partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials. https://doi.org/10.1016/j.aop.2014.06.016

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