A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates   of the Rational Calogero-Moser System
  We use Hamiltonian reduction to simplify Falqui and Mencattini's recent proof of Sklyanin's expression providing spectral Darboux coordinates of the rational Calogero-Moser system. This viewpoint enables us to verify a conjecture of Falqui and Mencattini, and to obtain Sklyanin's formula as a corollary. 
Tam\'as F. G\"orbe
math-ph math.MP nlin.SI