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

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

1999-09-02

arxiv.org/abs/math/9909014v2

Mathematics

Quantum Algebra

9 pages in Latex

Scientific paper

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 $U_q(sl_n)$ the result obtained by O. Babelon, D. Bernard and E. Billey
for $U_q(sl_2)$ which is the higher difference Lame operator. The general
method involved is the universal $R$-matrix construction.

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