A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System

作者：Goerbe Tamas F

来源：Symmetry Integrability and Geometry-Methods and Applications, 2016, 12: 027.

DOI：10.3824/SIGMA.2016.027

• integrable systems
• Calogero-Moser type systems
• spectral coordinates
• Hamiltonian reduction
• action-angle duality

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.

• 出版日期2016