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

Symmetry Integrability and Geometry-Methods and Applications

article

Tamás F. Görbe¹ 

[1] Department of Theoretical Physics, University of Szeged

关键词: integrable systems;    Calogero–Moser type systems;    spectral coordinates;    Hamiltonian reduction;    action-angle duality;   

DOI  :  10.3842/SIGMA.2016.027

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown