Generating equation for \(r\)-matrices related to dynamical systems of Calogero type.

DOI10.1016/S0375-9601(96)00719-0zbMath1037.81542MaRDI QIDQ1968039

P. B. Medvedev, Gleb E. Arutyunov

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (3)

Elliptic Ruijsenaars–Schneider model from the cotangent bundle over the two-dimensional current group ⋮ A description of Lax type integrable dynamical systems via the Marsden-Weinstein reduction method ⋮ THE MARSDEN–WEINSTEIN REDUCTION STRUCTURE OF INTEGRABLE DYNAMICAL SYSTEMS AND A GENERALIZED EXACTLY SOLVABLE QUANTUM SUPERRADIANCE MODEL

Cites Work

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• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• \(R\)-matrices for elliptic Calogero-Moser models
• Exact Yangian symmetry in the classical Euler-Calogero-Moser model
• Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
• The classical \(r\)-matrix for the relativistic Ruijsenaars-Schneider system.
• Hamiltonian group actions and dynamical systems of calogero type

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