Abstract
In this paper, we construct canonical action–angle variables for both the hyperbolic B C n Sutherland and the rational B C n Ruijsenaars–Schneider–van Diejen models with three independent coupling constants. As a byproduct of our symplectic reduction approach, we establish the action–angle duality between these many-particle systems. The presented dual reduction picture builds upon the construction of a Lax matrix for the B C n -type rational Ruijsenaars–Schneider–van Diejen model.
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