An Application of the Reduction Method to Sutherland type Many-body Systems

DOI10.1007/978-3-0348-0645-9_9zbMath1305.70037arXiv1308.6708OpenAlexW2962954728MaRDI QIDQ5498850

László Fehér

Publication date: 11 February 2015

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6708

zbMATH Keywords

Hamiltonian reductionintegrable many-body systems

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (2)

Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins ⋮ Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction

Cites Work

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• Poisson-Lie interpretation of trigonometric Ruijsenaars duality
• Momentum maps and Hamiltonian reduction
• A class of Calogero type reductions of free motion on a simple Lie group
• An integrable BC(n) Sutherland model with two types of particles
• Hamiltonian group actions and dynamical systems of calogero type

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