Integrable discretizations of the spin Ruijsenaars-Schneider models

Physics – High Energy Physics – High Energy Physics - Theory

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Scientific paper

10.1063/1.532114

Integrable discretizations are introduced for the rational and hyperbolic
spin Ruijsenaars--Schneider models. These discrete dynamical systems are
demonstrated to belong to the same integrable hierarchies as their
continuous--time counterparts. Explicit solutions are obtained for arbitrary
flows of the hierarchies, including the discrete time ones.

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