Separation of variables for A2 Ruijsenaars model and new integral representation for A2 Macdonald polynomials

Simple item page
dc.creatorKuznetsov, Vadim B.
dc.creatorSklyanin, Evgueni K.
dc.date1996-02-13
dc.date1996-03-25
dc.date.accessioned2026-07-07T10:59:03Z
dc.date.available2026-07-07T10:59:03Z
dc.descriptionUsing the Baker-Akhiezer function technique we construct a separation of variables for the classical trigonometric 3-particle Ruijsenaars model (relativistic generalization of Calogero-Moser-Sutherland model). In the quantum case, an integral operator M is constructed from the Askey-Wilson contour integral. The operator M transforms the eigenfunctions of the commuting Hamiltonians (Macdonald polynomials for the root sytem A2) into the factorized form S(y1)S(y2) where S(y) is a Laurent polynomial of one variable expressed in terms of the 3phi2(y) basic hypergeometric series. The inversion of M produces a new integral representation for the A2 Macdonald polynomials. We also present some results and conjectures for general n-particle case.
dc.description31 pages, latex, no figures, Proposition 12 corrected
dc.identifierhttps://arxiv.org/abs/q-alg/9602023
dc.identifierhttp://arxiv.org/abs/q-alg/9602023
dc.identifierJ.Phys.A29:2779-2804,1996
dc.identifierdoi:10.1088/0305-4470/29/11/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187316
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectClassical Analysis and ODEs
dc.subjectExactly Solvable and Integrable Systems
dc.titleSeparation of variables for A2 Ruijsenaars model and new integral representation for A2 Macdonald polynomials
dc.typetext

Files

Collections

arXiv