Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials

Details Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials

2003-10-27

arxiv.org/abs/math-ph/0310058v3

Physics

Mathematical Physics

12 pages, some corrections and chapter added

Scientific paper

10.1088/0305-4470/37/23/010

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.

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