Liouville integrability of classical Calogero-Moser models

DOI10.1016/S0375-9601(00)00842-2zbMath0972.81216arXivhep-th/0005278OpenAlexW2065295531MaRDI QIDQ1594648

R. Smith

Publication date: 6 February 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0005278

zbMATH Keywords

degenerationselliptic potentials

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)

Related Items (7)

Detecting Order and Chaos by the mLE, SALI and GALI Methods in Three-Dimensional Nonlinear Yang–Mills System ⋮ Scattering theory of the hyperbolic \(BC_n\) Sutherland and the rational \(BC_n\) Ruijsenaars-Schneider-Van Diejen models ⋮ Painlevé's analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential ⋮ Quadratic algebra associated with rational Calogero-Moser models ⋮ Geometry of Calogero-Moser systems ⋮ The geometry of Calogero-Moser systems. ⋮ INVERSION OF A MAPPING ASSOCIATED WITH THE AOMOTO–FORRESTER SYSTEM

Cites Work

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• Construction of elliptic curves with high rank via the invariants of the Weyl groups
• \(R\)-matrices for elliptic Calogero-Moser models
• Calogero-Moser Lax pairs with spectral parameter for general Lie algebras
• Lax representation with spectral parameter on a torus for integrable particle systems
• Quantum Calogero-Moser models: integrability for all root systems
• Invariants of Finite Reflection Groups and Mean Value Problems II

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