Rationally Extended Shape Invariant Potentials in Arbitrary D Dimensions Associated With Exceptional Xm Polynomials

Abstract

Rationally extended shape invariant potentials in arbitrary D-dimensions are obtainedby using point canonical transformation (PCT) method. The bound-state solutions of these exactlysolvable potentials can be written in terms ofXmLaguerre orXmJacobi exceptional orthogonalpolynomials.These potentials are isospectral to their usual counterparts and possess translationallyshape invariance property.