On the scattering theory of the classical hyperbolic C(n) Sutherland model

Details On the scattering theory of the classical hyperbolic C(n) Sutherland model On the scattering theory of the classical hyperbolic C(n) Sutherland model

2010-10-22

arxiv.org/abs/1010.4663v1

Physics

Mathematical Physics

15 pages

Scientific paper

In this paper we study the scattering theory of the classical hyperbolic Sutherland model associated with the C(n) root system. We prove that for any values of the coupling constants the scattering map has a factorized form. As a byproduct of our analysis, we propose a Lax matrix for the rational C(n) Ruijsenaars-Schneider-van Diejen model with two independent coupling constants, thereby setting the stage to establish the duality between the hyperbolic C(n) Sutherland and the rational C(n) Ruijsenaars-Schneider-van Diejen models.

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