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

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• 作者：B.G. Pusztai
• 关键词：Scattering theory ; Integrable systems ; Pure soliton systems
• 刊名：Nuclear Physics B
• 出版年：2013
• 出版时间：11 September, 2013
• 年：2013
• 卷：874
• 期：2
• 页码：647-662
• 全文大小：240 K

文摘

In this paper, we investigate the scattering properties of the hyperbolic Sutherland and the rational 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.