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

Pusztai, Béla Gábor (2013) Scattering theory of the hyperbolic BCn Sutherland and the rational BCn Ruijsenaars–Schneider–van Diejen models. NUCLEAR PHYSICS B, 874 (2). pp. 647-662. ISSN 0550-3213

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Abstract

In this paper, we investigate the scattering properties of the hyperbolic BCn Suther- land and the rational BCn Ruijsenaars–Schneider–van Diejen many-particle systems with three independent coupling constants. Utilizing the recently established action-angle du- ality 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.

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