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Duality between the trigonometric<b><i>BC</i></b><sub><b><i>n</i></b></sub>Sutherland system and a completed rational Ruijsenaars–Schneider–van Diejen system

Duality between the trigonometric<b><i>BC</i></b><sub><b><i>n</i></b></sub>Sutherland system and a completed rational Ruijsenaars–Schneider–van Diejen system

We present a new case of duality between integrable many-body systems, where two systems live on the action-angle phase spaces of each other in such a way that the action variables of each system serve as the particle positions of the other one. Our investigation utilizes an idea that was …