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

Mathematical Physics 2009-10-27 v1 math.MP

Abstract

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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Cite

@article{arxiv.0808.3875,
  title  = {On a Hamiltonian form of an elliptic spin Ruijsenaars-Schneider system},
  author = {Fedor Soloviev},
  journal= {arXiv preprint arXiv:0808.3875},
  year   = {2009}
}

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5 pages