11 citations · 32 across the 7 of their papers we have counts for
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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…