Bethe Ansatz Equations of XXZ Model and q-Sturm-Liouville Problems

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dc.creatorIsmail, M. E. H.
dc.creatorLin, S. S.
dc.creatorRoan, S. S.
dc.date2004-07-16
dc.date.accessioned2026-07-07T04:31:19Z
dc.date.available2026-07-07T04:31:19Z
dc.descriptionIn this article we have discovered a close relationship between the (algebraic) Bethe Ansatz equations of the spin $s$ XXZ model of a finite size and the $q$-Sturm-Liouville problem. We have demonstrated that solutions of the Bethe Ansatz equations give rise to the polynomial solutions of a second order $q$-difference equation in terms of Askey-Wilson operator. The more general form of Bethe Ansatz equations and the mathematical problems relevant to the physics of XXZ model are discussed. Furthermore, the similar correspondence between Bethe Ansatz equations of XXX model and the Sturm-Liouville type difference equation in terms of Wilson operator has also been found.
dc.descriptionLatex 23 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0407033
dc.identifierhttp://arxiv.org/abs/math-ph/0407033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57771
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subject33C45, 33D45, 39A13
dc.titleBethe Ansatz Equations of XXZ Model and q-Sturm-Liouville Problems
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