Rational extensions of solvable potentials and exceptional orthogonal polynomials

@article{Grandati2012RationalEO,
  title={Rational extensions of solvable potentials and exceptional orthogonal polynomials},
  author={Yves Grandati},
  journal={Journal of Physics: Conference Series},
  year={2012},
  volume={343},
  pages={012041}
}
  • Y. Grandati
  • Published 8 February 2012
  • Mathematics
  • Journal of Physics: Conference Series
We present a generalized SUSY QM partnership in which the DBT are built on the excited states Riccati-Schrödinger (RS) functions regularized via specific discrete symmetries of translationally shape invariant potentials. Applied to the isotonic oscillator, this scheme allows to generate the solvable rational extensions the spectrum of which is associated to the recently discovered exceptional Laguerre polynomials 

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