287 citations
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math-ph2021★ 1 cited
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…
math-ph2021★ 6 cited
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…