9 citations · 20 across the 5 of their papers we have counts for
6 papers
Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry
Jan Felipe van Diejen, Tamás Görbe
We construct the orthogonal eigenbasis for a discrete elliptic Ruijsenaars type quantum particle Hamiltonian with hyperoctahedral symmetry. In the trigonometric limit the eigenfunc…
Elliptic Ruijsenaars difference operators, symmetric polynomials, and Wess-Zumino-Witten fusion rings
Jan Felipe van Diejen, Tamás Görbe
The fusion ring for Wess-Zumino-Witten conformal field theories is known to be isomorphic to a factor ring of the ring of symmetric polynomials prese…
Elliptic Ruijsenaars difference operators on bounded partitions
Jan Felipe van Diejen, Tamás Görbe
By means of a truncation condition on the parameters, the elliptic Ruijsenaars difference operators are restricted onto a finite lattice of points encoded by bounded partitions. A…
Elliptic Racah polynomials
Jan Felipe van Diejen, Tamás Görbe
Upon solving a finite discrete reduction of the difference Heun equation, we arrive at an elliptic generalization of the Racah polynomials. We exhibit the three-term recurrence rel…
The full phase space of a model in the Calogero-Ruijsenaars family
L. Feher, T. F. Gorbe
We complete the recent derivation of a Ruijsenaars type system that arises as a reduction of the natural free system on the Heisenberg double of SU(n,n). The previous analysis by M…
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System
Tamás F. Görbe
We use Hamiltonian reduction to simplify Falqui and Mencattini's recent proof of Sklyanin's expression providing spectral Darboux coordinates of the rational Calogero-Moser system.…