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Sur les intégrales de mouvement du système de sinus-Gordon discret – On Integrals of Motion of the discrete sine-Gordon System

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Abstract

We give explicit formulas for some densities of integrals of motion for the discrete sine-Gordon system (quantum or not). The generating function for the densities of integrals of motion may be seen as the expansion of the logarithm of a certain continued fraction (possibly quantum). In the case of q root of the unity, we show that these integrals of motion can be identified to the classical integrals of motion.

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  1. Centre de mathématiques, UMR 7640 du CNRS, Ecole polytechnique, F-91128, Palaiseau Cedex, France

    C. Grunspan

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  1. C. Grunspan
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Grunspan, C. Sur les intégrales de mouvement du système de sinus-Gordon discret – On Integrals of Motion of the discrete sine-Gordon System. Letters in Mathematical Physics 54, 101–121 (2000). https://doi.org/10.1023/A:1011078706129

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