On one-dimensional Schroedinger problems allowing polynomial solutions
Chaotic Dynamics
2016-09-07 v1 Exactly Solvable and Integrable Systems
Abstract
We discuss the explicit construction of the Schroedinger equations admitting a representation through some family of general polynomials. Almost all solvable quantum potentials are shown to be generated by this approach. Some generalization has also been performed in higher-dimensional problems.
Cite
@article{arxiv.nlin/0003064,
title = {On one-dimensional Schroedinger problems allowing polynomial solutions},
author = {George Krylov and Marko Robnik},
journal= {arXiv preprint arXiv:nlin/0003064},
year = {2016}
}
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17 pages