par Quesne, Christiane
Référence Journal of Physics A: Mathematical and Theoretical, 41, 39, 392001
Publication Publié, 2008-10
Article révisé par les pairs
Résumé : We construct two new exactly solvable potentials giving rise to bound-state solutions to the Schrödinger equation, which can be written in terms of the recently introduced Laguerre- or Jacobi-type X1 exceptional orthogonal polynomials. These potentials, extending either the radial oscillator or the Scarf I potential by the addition of some rational terms, turn out to be translationally shape invariant as their standard counterparts and isospectral to them. © 2008 IOP Publishing Ltd.