11 citations · 32 across the 7 of their papers we have counts for
7 papers
Superintegrability of Calogero-Moser systems associated with the cyclic quiver
Maxime Fairon, Tamás Görbe
We study complex integrable systems on quiver varieties associated with the cyclic quiver, and prove their superintegrability by explicitly constructing first integrals. We interpr…
Quantization and explicit diagonalization of new compactified trigonometric Ruijsenaars-Schneider systems
Tamás F. Görbe, Martin A. Hallnäs
Recently, Fehér and Kluck discovered, at the level of classical mechanics, new compactified trigonometric Ruijsenaars-Schneider -particle systems, with phase space symplectomorp…
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 a Poisson-Lie deformation of the BC(n) Sutherland system
L. Feher, T. F. Gorbe
A deformation of the classical trigonometric BC(n) Sutherland system is derived via Hamiltonian reduction of the Heisenberg double of SU(2n). We apply a natural Poisson-Lie analogu…
Equivalence of two sets of Hamiltonians associated with the rational BC(n) Ruijsenaars-Schneider-van Diejen system
T. F. Gorbe, L. Feher
The equivalence of two complete sets of Poisson commuting Hamiltonians of the (super)integrable rational BC(n) Ruijsenaars-Schneider-van Diejen system is established. Specifically,…
On the derivation of Darboux form for the action-angle dual of trigonometric BC(n) Sutherland system
T. F. Gorbe
Recently Feher and the author have constructed the action-angle dual of the trigonometric BC(n) Sutherland system via Hamiltonian reduction. In this paper a reduction-based calcula…
Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals
V. Ayadi, L. Feher, T. F. Gorbe
We explain that the action-angle duality between the rational Ruijsenaars-Schneider and hyperbolic Sutherland systems implies immediately the maximal superintegrability of these ma…