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arXiv · 0910.1209

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

Bikashkali Midya·Barnana Roy
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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.

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Bikashkali Midya, Barnana Roy. 2009-10-07. Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schroedinger Hamiltonians. https://doi.org/10.1016/j.physleta.2009.09.030

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