Action-angle duality between the image-type hyperbolic Sutherland and the rational Ruijsenaars–Schneider–van Diejen models Original Research Article

In a symplectic reduction framework we construct action-angle systems of canonical coordinates for both the hyperbolic Sutherland and the rational Ruijsenaars–Schneider–van Diejen integrable models associated with the image root system. The presented dual reduction picture permits us to establish the action-angle duality between these many-particle systems.