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math-ph2023
Rational extensions of the Dunkl oscillator in the plane and exceptional orthogonal polynomials
C. Quesne
It is shown that rational extensions of the isotropic Dunkl oscillator in the plane can be obtained by adding some terms either to the radial equation or to the angular one obtaine…
math-ph2023
Rationally-extended Dunkl oscillator on the line
C. Quesne
It is shown that the extensions of exactly-solvable quantum mechanical problems connected with the replacement of ordinary derivatives by Dunkl ones and with that of classical orth…