Bi-Hamiltonian geometry and canonical spectral coordinates for the rational Calogero-Moser system
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Publication:2360604
DOI10.1016/j.geomphys.2016.04.023zbMath1373.37139arXiv1511.06339OpenAlexW2963793509MaRDI QIDQ2360604
Igor Mencattini, Gregorio Falqui
Publication date: 4 July 2017
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.06339
Calogero-Moser systemspectral coordinatesbi-Hamiltonian geometrybi-Hamiltonian systemDarboux-Nijenhuis coordinates
Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Kinematics of a particle (70B05)
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A simple proof of Sklyanin's formula for canonical spectral coordinates of the rational Calogero-Moser system, Reduction of a bi-Hamiltonian hierarchy on \(T^\ast\text{U}(n)\) to spin Ruijsenaars-Sutherland models, Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver, Bi-Hamiltonian structure of spin Sutherland models: the holomorphic case, Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone, Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction
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