Rational Calogero-Moser Model: Explicit Form and r -Matrix of the Second Poisson Structure

[摘要] We compute the full expression of the second Poisson bracket structure for N =2 and N =3 site rational classical Calogero-Moser model. We propose an r -matrix formulation for N =2. It is identified with the classical limit of the second dynamical boundary algebra previously built by the authors.

[关键词] classical integrable systems;hierarchy of Poisson structures;dynamical reflection equation