The action–angle dual of an integrable Hamiltonian system of Ruijsenaars–Schneider–van Diejen type Article Swipe
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L. Fehér
,
Ian Marshall
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1088/1751-8121/aa7934
· OA: W2589616671
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1088/1751-8121/aa7934
· OA: W2589616671
Integrable deformations of the hyperbolic and trigonometric ${\mathrm{BC}}_n$ Sutherland models were recently derived via Hamiltonian reduction of certain free systems on the Heisenberg doubles of ${\mathrm{SU}}(n,n)$ and ${\mathrm{SU}}(2n)$, respectively. As a step towards constructing action-angle variables for these models, we here apply the same reduction to a different free system on the double of ${\mathrm{SU}}(2n)$ and thereby obtain a novel integrable many-body model of Ruijsenaars--Schneider--van Diejen type that is in action-angle duality with the respective deformed Sutherland model.
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