Rationally extended shape invariant potentials in arbitrary D-dimensions   associated with exceptional $X_m$ polynomials
  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 X_m Laguerre or X_m Jacobi exceptional orthogonal polynomials. These potentials are isospectral to their usual counterparts and possess translationally shape invariance property. 
Rajesh Kumar Yadav (BHU), Nisha Kumari (BHU), Avinash Khare   (IISER-Pune) and Bhabani Prasad Mandal (BHU)
quant-ph hep-th math-ph math.MP