31 citations · 239 across the 20 of their papers we have counts for
20 papers
Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters
B. G. Pusztai, T. F. Gorbe
In this paper, we construct a Lax pair for the classical hyperbolic van Diejen system with two independent coupling parameters. Built upon this construction, we show that the dynam…
On the classical r-matrix structure of the rational BC(n) Ruijsenaars-Schneider-van Diejen system
B. G. Pusztai
In this paper, we construct a quadratic r-matrix structure for the classical rational BC(n) Ruijsenaars-Schneider-van Diejen system with the maximal number of three independent cou…
Generalized spin Sutherland systems revisited
L. Feher, B. G. Pusztai
We present generalizations of the spin Sutherland systems obtained earlier by Blom and Langmann and by Polychronakos in two different ways: from SU(n) Yang--Mills theory on the cyl…
Scattering theory of the hyperbolic BC(n) Sutherland and the rational BC(n) Ruijsenaars--Schneider--van Diejen models
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…
On the r-matrix structure of the hyperbolic BC(n) Sutherland model
B. G. Pusztai
Working in a symplectic reduction framework, we construct a dynamical r-matrix for the classical hyperbolic BC(n) Sutherland model with three independent coupling constants. We als…
The hyperbolic BC(n) Sutherland and the rational BC(n) Ruijsenaars-Schneider-van Diejen models: Lax matrices and duality
B. G. Pusztai
In this paper, we construct canonical action-angle variables for both the hyperbolic BC(n) Sutherland and the rational BC(n) Ruijsenaars-Schneider-van Diejen models with three inde…