Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schroedinger Hamiltonians - Quantum PhysicsReport as inadecuate




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Abstract: Some exactly solvable potentials in the position dependent mass backgroundare generated whose bound states are given in terms of Laguerre- or Jacobi-type$X 1$ exceptional orthogonal polynomials. These potentials are shown to beshape invariant and isospectral to the potentials whose bound state solutionsinvolve classical Laguerre or Jacobi polynomials.



Author: Bikashkali Midya, Barnana Roy

Source: https://arxiv.org/







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