# On the r-matrix structure of the hyperbolic BC(n) Sutherland model

@article{Pusztai2012OnTR, title={On the r-matrix structure of the hyperbolic BC(n) Sutherland model}, author={B. G. Pusztai}, journal={arXiv: Mathematical Physics}, year={2012} }

Working in a symplectic reduction framework, we construct a dynamical r-matrix for the classical hyperbolic BC(n) Sutherland model with three independent coupling constants. We also examine the Lax representation of the dynamics and its equivalence with the Hamiltonian equation of motion.

## 3 Citations

### On the classical r-matrix structure of the rational BC n Ruijsenaars-Schneider-van Diejen system

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- 2015

### Scattering theory of the hyperbolic BCn Sutherland and the rational BCn Ruijsenaars–Schneider–van Diejen models

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- 2013

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

- Mathematics
- 2012

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…

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