Spectral parameter dependent Lax pairs for systems of Calogero-Moser type

DOI10.1007/s11005-016-0912-0zbMath1387.37053OpenAlexW2559648349MaRDI QIDQ524122

Yong-Cai Geng, Sumit K. Garg

Publication date: 25 April 2017

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-016-0912-0

zbMATH Keywords

Poisson reductionintegrable systemHamiltonian reductionCalogero modelRuijsenaars modelSutherland model

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Applications of Lie algebras and superalgebras to integrable systems (17B80) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (2)

The action–angle dual of an integrable Hamiltonian system of Ruijsenaars–Schneider–van Diejen type ⋮ Global description of action-angle duality for a Poisson-Lie deformation of the trigonometric \(\mathrm {BC}_n\) Sutherland system

Cites Work

• Integrable Hamiltonian systems connected with graded Lie algebras
• A new integrable case of the motion of the 4-dimensional rigid body
• Lax representation with a spectral parameter for the Kowalevski top and its generalizations
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• Symplectic structures associated to Lie-Poisson groups
• A new model in the Calogero-Ruijsenaars family
• A class of Calogero type reductions of free motion on a simple Lie group
• The full phase space of a model in the Calogero-Ruijsenaars family
• Hamiltonian group actions and dynamical systems of calogero type

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