Universal R-matrix formalism for the spin Calogero-Moser system and its difference counterpart

D. Talalaev

paper

Universal R-matrix formalism for the spin Calogero-Moser system and its difference counterpart

arXiv:math/9909014

Abstract

The expression of the quantum Ruijsenaars-Schneider Hamiltonian is obtained in the framework of the dynamical $R$ -matrix formalism. This generalizes to the case of $U_{q} (s l_{n})$ the result obtained by O. Babelon, D. Bernard and E. Billey for $U_{q} (s l_{2})$ which is the higher difference Lame operator. The general method involved is the universal $R$ -matrix construction.

9 pages in Latex