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

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

2009-10-07

arxiv.org/abs/0910.1209v1

Physics Letters A 373 (2009) 4117-4122

Physics

Quantum Physics

To appear in Physics Letters A

Scientific paper

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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