Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schroedinger Hamiltonians

Abstract

Some exactly solvable potentials in the position dependent mass background are generated whose bound states are given in terms of Laguerre- or Jacobi-type $X_1$ exceptional orthogonal polynomials. These potentials are shown to be shape invariant and isospectral to the potentials whose bound state solutions involve classical Laguerre or Jacobi polynomials.

To appear in Physics Letters A

References in corpus (4)

• Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
• A study of the bound states for square potential wells with position-dependent mass
• Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry
• Position-dependent mass models and their nonlinear characterization

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