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 obtained by using point canonical transformation (PCT) method. The bound-state solutions of these exactly solvable potentials can be written in terms of Xm Laguerre or Xm Jacobi exceptional orthogonal polynomials. These potentials are isospectral to their usual counterparts and possess translationally shape invariance property. © Czech Technical University in Prague, 2017.