1304.2462 (B. G. Pusztai)

Scattering theory of the hyperbolic BC(n) Sutherland and the rational
BC(n) Ruijsenaars--Schneider--van Diejen models    [PDF]

B. G. Pusztai

In this paper, we investigate the scattering properties of the hyperbolic BC(n) Sutherland and the rational BC(n) Ruijsenaars-Schneider-van Diejen many-particle systems with three independent coupling constants. Utilizing the recently established action-angle duality between these classical integrable models, we construct their wave and scattering maps. In particular, we prove that for both particle systems the scattering map has a factorized form.

View original: http://arxiv.org/abs/1304.2462