Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials
数学物理
2014-11-03 v3 math.MP
摘要
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.
引用
@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}
}
备注
12 pages, some corrections and chapter added