# Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry

@inproceedings{Diejen2021EigenfunctionsOA, title={Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry}, author={Jan Felipe van Diejen and Tam'as Gorbe}, year={2021} }

We construct the orthogonal eigenbasis for a discrete elliptic Ruijsenaars type quantum particle Hamiltonian with hyperoctahedral symmetry. In the trigonometric limit the eigenfunctions in question recover a previously studied q-Racah type reduction of the Koornwinder-Macdonald polynomials. When the inter-particle interaction degenerates to that of impenetrable bosons, the orthogonal eigenbasis simplifies in terms of generalized Schur polynomials on the spectrum associated with recently found… Expand

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