Rational Calogero–Moser model: explicit form and $r$-matrix of the second Poisson structure

Jean Avan ; Eric Ragoucy

Symmetry, integrability and geometry: methods and applications, Tome 8 (2012)

Résumé

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.

Détail

Keywords: classical integrable systems; hierarchy of Poisson structures; dynamical reflection equation.

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