English

Dynamical r-matrix for the elliptic Ruijsenaars-Schneider system

solv-int 2009-10-30 v1 High Energy Physics - Theory Quantum Algebra Exactly Solvable and Integrable Systems q-alg

Abstract

The classical r-matrix structure for the generic elliptic Ruijsenaars-Schneider model is presented. It makes the integrability of this model as well as of its discrete-time version that was constructed in a recent paper manifest.

Cite

@article{arxiv.solv-int/9603006,
  title  = {Dynamical r-matrix for the elliptic Ruijsenaars-Schneider system},
  author = {F. W. Nijhoff and V. B. Kuznetsov and E. K. Sklyanin and O. Ragnisco},
  journal= {arXiv preprint arXiv:solv-int/9603006},
  year   = {2009}
}

Comments

14 pages, LaTex, equations.sty, no figures, comment on explicit non-relativistic limit is added

R2 v1 2026-07-22T20:08:01.591Z