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

Abstract

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.

20 pages

References in corpus (1)

• The hyperbolic BC(n) Sutherland and the rational BC(n) Ruijsenaars-Schneider-van Diejen models: Lax matrices and duality

Cited by in corpus (3)

• Scattering theory of the hyperbolic BC(n) Sutherland and the rational BC(n) Ruijsenaars--Schneider--van Diejen models
• Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure
• On the classical r-matrix structure of the rational BC(n) Ruijsenaars-Schneider-van Diejen system