259 citations · 3.2k across the 85 of their papers we have counts for
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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…
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…
Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere
C. Quesne
We consider a family of extensions of the Kepler-Coulomb potential on a -dimensional sphere and analyze it in a deformed supersymmetric framework, wherein the starting potential…
Dynamical symmetry algebra of two superintegrable two-dimensional systems
Ian Marquette, Christiane Quesne
A complete classification of 2D superintegrable systems on two-dimensional conformally flat spaces has been performed over the years and 58 models, divided into 12 equivalence clas…
Minimal bosonization of double-graded supersymmetric quantum mechanics
C. Quesne
The superalgebra of -graded supersymmetric quantum mechanics is shown to be realizable in terms of a single bosonic degree of freedom. Such an approach is directly inspired…
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model
Ian Marquette, Christiane Quesne
A shape invariant nonseparable and nondiagonalizable three-dimensional model with quadratic complex interaction was introduced by Bardavelidze, Cannata, Ioffe, and Nishnianidze. Ho…