Families of superintegrable Hamiltonians constructed from exceptional   polynomials
  We introduce a family of exactly-solvable two-dimensional Hamiltonians whose wave functions are given in terms of Laguerre and exceptional Jacobi polynomials. The Hamiltonians contain purely quantum terms which vanish in the classical limit leaving only a previously known family of superintegrable systems. Additional, higher-order integrals of motion are constructed from ladder operators for the considered orthogonal polynomials proving the quantum system to be superintegrable. 
Sarah Post, Satoshi Tsujimoto, Luc Vinet
math-ph math.MP nlin.SI