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arXiv · 1701.08236

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

Axel Schulze-Halberg·Pinaki Roy
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Abstract

We construct energy-dependent potentials for which the Schroedinger equations admit solu- tions 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.

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Axel Schulze-Halberg, Pinaki Roy. 2017-01-28. Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials. https://doi.org/10.1016/j.aop.2017.01.023

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