9 citations · 9 across the 1 of their papers we have counts for
5 papers
On Spin Calogero-Moser system at infinity
Sergey Khoroshkin, Maria Matushko, Evgeny Sklyanin
We present a construction of a new integrable model as an infinite limit of Calogero models of N particles with spin. It is implemented in the multicomponent Fock space. Explicit f…
Generating function of correlators in the sl_2 Gaudin model
E. K. Sklyanin
For the sl_2 Gaudin model (degenerated quantum integrable XXX spin chain) an exponential generating function of correlators is calculated explicitely. The calculation relies on the…
Separation of variables for the Ruijsenaars system
V. B. Kuznetsov, F. W. Nijhoff, E. K. Sklyanin
We construct a separation of variables for the classical n-particle Ruijsenaars system (the relativistic analog of the elliptic Calogero-Moser system). The separated coordinates ap…
Dynamical r-matrix for the elliptic Ruijsenaars-Schneider system
F. W. Nijhoff, V. B. Kuznetsov, E. K. Sklyanin +1
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…
Separation of Variables in the Classical Integrable SL(3) Magnetic Chain
E. K. Sklyanin
There are two fundamental problems studied by the theory of hamiltonian integrable systems: integration of equations of motion, and construction of action-angle variables. The thir…