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math-ph2024★ 1 cited
Dynamical and invariance algebras of the -dimensional Dunkl-Coulomb problem
Christiane Quesne
It is shown that the rich algebraic structure of the standard -dimensional Coulomb problem can be extended to its Dunkl counterpart. Replacing standard derivatives by Dunkl ones…
math-ph2024
-step rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials
Yves Grandati, Christiane Quesne
A previous construction of regular rational extensions of the trigonometric Darboux-Pöschl-Teller potential, obtained by one-step Darboux transformations using seed functions assoc…