Poisson structures of Calogero–Moser and Ruijsenaars–Schneider models
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Publication:3560301
DOI10.1088/1751-8113/43/18/185201zbMath1194.37099arXiv0912.3468OpenAlexW3102953570MaRDI QIDQ3560301
Inês Aniceto, Jean Avan, Antal Jevicki
Publication date: 19 May 2010
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.3468
integrable systemsCalogero-Moser modelPoisson structuresbi-Hamiltonian structuresRuijsenaars-Schneider modelcontinuous field theories
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Bi-Hamiltonian geometry and canonical spectral coordinates for the rational Calogero-Moser system ⋮ Poisson-Nijenhuis structures on quiver path algebras ⋮ On the superintegrability of the rational Ruijsenaars-Schneider model ⋮ Many-Particle Schrödinger Type Finitely Factorized Quantum Hamiltonian Systems and Their Integrability ⋮ Bi-Hamiltonian structure of spin Sutherland models: the holomorphic case ⋮ Some connections between the classical Calogero-Moser model and the log-gas ⋮ Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction
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