On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system
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Publication:2224496
DOI10.1007/s11005-020-01320-xzbMath1468.70010arXiv1811.08727OpenAlexW3104008428MaRDI QIDQ2224496
Oleg A. Chalykh, Maxime Fairon
Publication date: 3 February 2021
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.08727
Momentum maps; symplectic reduction (53D20) Representations of quivers and partially ordered sets (16G20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
Related Items (12)
Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems ⋮ Hamiltonian structures for integrable nonabelian difference equations ⋮ Poisson-Lie analogues of spin Sutherland models ⋮ Poisson reductions of master integrable systems on doubles of compact Lie groups ⋮ Anisotropic spin generalization of elliptic Macdonald-Ruijsenaars operators and \(R\)-matrix identities ⋮ Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of \({\mathrm{U}}(n)\) ⋮ Trigonometric real form of the spin RS model of Krichever and Zabrodin ⋮ On the bi-Hamiltonian Structure of the Trigonometric Spin Ruijsenaars–Sutherland Hierarchy ⋮ Superintegrability of Calogero–Moser systems associated with the cyclic quiver ⋮ Superintegrable systems on moduli spaces of flat connections ⋮ Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction ⋮ Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve
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