Completeness of Bethe's states for generalized $XXZ$ model

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dc.creatorKirillov, Anatol N.
dc.creatorLiskova, Nadejda A.
dc.date1994-03-18
dc.date1994-03-23
dc.date.accessioned2026-07-07T10:58:33Z
dc.date.available2026-07-07T10:58:33Z
dc.descriptionWe study the Bethe ansatz equations for a generalized $XXZ$ model on a one-dimensional lattice. Assuming the string conjecture we propose an integer version for vacancy numbers and prove a combinatorial completeness of Bethe's states for a generalized $XXZ$ model. We find an exact form for inverse matrix related with vacancy numbers and compute its determinant. This inverse matrix has a tridiagonal form, generalizing the Cartan matrix of type $A$.
dc.description20 pages, PlainTEX
dc.identifierhttps://arxiv.org/abs/hep-th/9403107
dc.identifierhttp://arxiv.org/abs/hep-th/9403107
dc.identifierJ.Phys.A30:1209-1226,1997
dc.identifierdoi:10.1088/0305-4470/30/4/022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187142
dc.subjectHigh Energy Physics - Theory
dc.titleCompleteness of Bethe's states for generalized $XXZ$ model
dc.typetext

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