English

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

Quantum Algebra 2007-05-23 v2 High Energy Physics - Theory

Abstract

The expression of the quantum Ruijsenaars-Schneider Hamiltonian is obtained in the framework of the dynamical RR-matrix formalism. This generalizes to the case of Uq(sln)U_q(sl_n) the result obtained by O. Babelon, D. Bernard and E. Billey for Uq(sl2)U_q(sl_2) which is the higher difference Lame operator. The general method involved is the universal RR-matrix construction.

Keywords

Cite

@article{arxiv.math/9909014,
  title  = {Universal R-matrix formalism for the spin Calogero-Moser system and its difference counterpart},
  author = {D. Talalaev},
  journal= {arXiv preprint arXiv:math/9909014},
  year   = {2007}
}

Comments

9 pages in Latex