par Quesne, Christiane
Référence International journal of modern physics A, 26, 32, page (5337-5347)
Publication Publié, 2011-12
Article révisé par les pairs
Résumé : A previous study of exactly solvable rationally-extended radial oscillator potentials and corresponding Laguerre exceptional orthogonal polynomials carried out in second-order supersymmetric quantum mechanics is extended to kth-order one. The polynomial appearing in the potential denominator and its degree are determined. The first-order differential relations allowing one to obtain the associated exceptional orthogonal polynomials from those arising in a (k-1)th-order analysis are established. Some nontrivial identities connecting products of Laguerre polynomials are derived from shape invariance. © 2011 World Scientific Publishing Company.