Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schroedinger Hamiltonians
Quantum Physics
2015-05-14 v1 Mathematical Physics
math.MP
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 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.
Keywords
Cite
@article{arxiv.0910.1209,
title = {Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schroedinger Hamiltonians},
author = {Bikashkali Midya and Barnana Roy},
journal= {arXiv preprint arXiv:0910.1209},
year = {2015}
}
Comments
To appear in Physics Letters A