arXiv:math-ph/0310058 · Journal of Physics A Mathematical and General

Systems with intensity-dependent conversion integrable by finite orthogonal polynomials

Maciej Horowski, Goce Chadzitaskos, Anatol Odzijewicz, Agnieszka Tereszkiewicz

Published May 25, 2004• 8 citations

Abstract

We present exact solutions of a class of the nonlinear models which describe the parametric conversion of photons. Hamiltonians of these models are related to the classes of finite orthogonal polynomials. The spectra and exact expressions for eigenvectors of these Hamiltonians are obtained.

DOI: 10.1088/0305-4470/37/23/010

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