par Grandati, Yves;Quesne, Christiane
Référence Symmetry, integrability and geometry: methods and applications, 11, 61
Publication Publié, 2015-07
Article révisé par les pairs
Résumé : We construct rational extensions of the Darboux-Pöschl-Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the initial potential, whereas the latter are only quasi-isospectral. Both are associated to new families of orthogonal polynomials, which, in the first case, depend on a continuous parameter. We also prove that these extended potentials possess an enlarged shape invariance property.