84 citations · 737 across the 52 of their papers we have counts for
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Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions
Jan Felipe van Diejen, Erdal Emsiz
Starting from the hyperoctahedral multivariate hypergeometric function of Heckman and Opdam (associated with the root system), we arrive -- via partial confluent limits in t…
Spectral analysis of an open -difference Toda chain with two-sided boundary interactions on the finite integer lattice
Jan Felipe van Diejen
A quantum -particle model consisting of an open -difference Toda chain with two-sided boundary interactions is placed on a finite integer lattice. The spectrum and eigenbasis…
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 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…
Bispectral dual difference equations for the quantum Toda chain with boundary perturbations
J. F. van Diejen, E. Emsiz
We show that hyperoctahedral Whittaker functions---diagonalizing an open quantum Toda chain with one-sided boundary potentials of Morse type---satisfy a dual system of difference e…
Completeness of the Bethe Ansatz for an open -boson system with integrable boundary interactions
J. F. van Diejen, E. Emsiz, I. N. Zurrián
We employ a discrete integral-reflection representation of the double affine Hecke algebra of type at the critical level q=1, to endow the open finite -boson system w…