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On a Hamiltonian form of an elliptic spin Ruijsenaars-Schneider system

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arxiv 0808.3875 v1 pith:6UVNVJL3 submitted 2008-08-28 math-ph math.MP

Fedor Soloviev This is my paper · ORCID
classification math-phmath.MP
keywords formellipticfoundhamiltonianruijsenaars-schneiderspinarutyunovbracket
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An explicit expression of a Hamiltonian form of an elliptic spin Ruijsenaars-Schneider is found in the case of 2 particles using Krichever-Phong's universal symplectic form. In the rational limit it coincides with a Poisson bracket found by Arutyunov and Frolov.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spin Ruijsenaars-Schneider models are Coulomb branches

    hep-th 2026-03 conditional novelty 7.0 of 10

    Cohomological and K-theoretic Coulomb branches of necklace quivers are shown to provide the Poisson structures and Hamiltonians that generate the rational and hyperbolic spin Ruijsenaars–Schneider equations of motion.

  2. Compatible Poisson structures on multiplicative quiver varieties

    math.SG 2023-10 unverdicted novelty 7.0 of 10

    Multiplicative quiver varieties carry a pencil of dimension ℓ(ℓ-1)/2 of compatible Poisson structures obtained by reduction from a pencil of Hamiltonian quasi-Poisson structures.

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