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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Quantum Simulation
DARBOUX partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials
arXiv
Authors: Axel Schulze-Halberg, Barnana Roy
Year
2014
Paper ID
47747
Status
Preprint
Abstract Read
~2 min
Abstract Words
65
Citations
N/A
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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We introduce a method for constructing Darboux (or supersymmetric) pairs of pseudoscalar and scalar Dirac potentials that are associated with exceptional orthogonal polynomials.
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