On the scattering theory of the classical hyperbolic C(n) Sutherland model
| Autor: | B G Pusztai |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Statistics and Probability
Physics Coupling constant High Energy Physics - Theory Nonlinear Sciences - Exactly Solvable and Integrable Systems Scattering General Physics and Astronomy Duality (optimization) FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Matrix (mathematics) Nonlinear Sciences::Exactly Solvable and Integrable Systems High Energy Physics - Theory (hep-th) Modeling and Simulation Mathematics::Quantum Algebra Scattering theory Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics Mathematical physics |
| DOI: | 10.48550/arxiv.1010.4663 |
| Popis: | 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. Comment: 15 pages |
| Databáze: | OpenAIRE |
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