Scattering theory of the hyperbolic BC(n) Sutherland and the rational BC(n) Ruijsenaars--Schneider--van Diejen models
arXiv:1304.2462 · doi:10.1016/j.nuclphysb.2013.06.007
Abstract
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.
16 pages
References in corpus (2)
Cited by in corpus (8)
- Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters
- On a Poisson-Lie deformation of the BC(n) Sutherland system
- Self-duality and scattering map for the hyperbolic van Diejen systems with two coupling parameters (with an appendix by S. Ruijsenaars)
- On the classical r-matrix structure of the rational BC(n) Ruijsenaars-Schneider-van Diejen system
- Equivalence of two sets of Hamiltonians associated with the rational BC(n) Ruijsenaars-Schneider-van Diejen system
- Integrable many-body systems of Calogero-Ruijsenaars type
- Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials
- Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions