On the Hamiltonian structure of the spin Ruijsenaars-Schneider model

DOI10.1088/0305-4470/31/18/010zbMath0938.37060arXivhep-th/9703119OpenAlexW3104454785MaRDI QIDQ4703698

Gleb E. Arutyunov, Sergeĭ Anatol'evich Frolov

Publication date: 30 November 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9703119

zbMATH Keywords

symmetryPoisson structuredimensional reductionspin systemsHamiltonian reduction technique

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Many-body theory; quantum Hall effect (81V70) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (9)

Poisson-Lie analogues of spin Sutherland models ⋮ Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of \({\mathrm{U}}(n)\) ⋮ Relativistic interacting integrable elliptic tops ⋮ Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction ⋮ Integrable system of generalized relativistic interacting tops ⋮ Trigonometric real form of the spin RS model of Krichever and Zabrodin ⋮ On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system ⋮ Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model ⋮ The non-chiral intermediate Heisenberg ferromagnet equation

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