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

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

2008-08-28

arxiv.org/abs/0808.3875v1

Russian Math. Surveys, v. 64, no. 5, 2009

Physics

Mathematical Physics

5 pages

Scientific paper

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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