Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials
Mathematical Physics
2014-11-03 v3 math.MP
Abstract
We present exact solutions of a class of models, which describe the parametric down conversion of photons. The Hamiltonians of this models are related to the classes of finite orthogonal polynomials. The spectra and explicit expressions for eigenvectors of this Hamiltonians are obtained.
Keywords
Cite
@article{arxiv.math-ph/0310058,
title = {Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials},
author = {Maciej Horowski and Goce Chadzitaskos and Anatol Odzijewicz and Agnieszka Tereszkiewicz},
journal= {arXiv preprint arXiv:math-ph/0310058},
year = {2014}
}
Comments
12 pages, some corrections and chapter added