Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials

Authors

Axel Schulze-Halberg, Indiana University Northwest
Pinaki Roy, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Annals of Physics

Abstract

We construct energy-dependent potentials for which the Schrödinger equations admit solutions in terms of exceptional orthogonal polynomials. Our method of construction is based on certain point transformations, applied to the equations of exceptional Hermite, Jacobi and Laguerre polynomials. We present several examples of boundary-value problems with energy-dependent potentials that admit a discrete spectrum and the corresponding normalizable solutions in closed form.

First Page

234

Last Page

252

DOI

10.1016/j.aop.2017.01.023

Publication Date

3-1-2017

Comments

Open Access, Green

Recommended Citation

Schulze-Halberg, Axel and Roy, Pinaki, "Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials" (2017). Journal Articles. 2667.
https://digitalcommons.isical.ac.in/journal-articles/2667