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

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.

5 pages

References in corpus (1)

• Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra

Cited by in corpus (1)

• Spin versions of the complex trigonometric Ruijsenaars-Schneider model from cyclic quivers