From the Bethe Ansatz to the Gessel-Viennot Theorem

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dc.creatorBrak, R.
dc.creatorEssam, J. W.
dc.creatorOwczarek, A. L.
dc.date2000-06-21
dc.date.accessioned2026-07-07T04:35:59Z
dc.date.available2026-07-07T04:35:59Z
dc.descriptionWe state and prove several theorems that demonstrate how the coordinate Bethe Ansatz for the eigenvectors of suitable transfer matrices of a generalised inhomogeneous five-vertex model on the square lattice, given certain conditions hold, is equivalent to the Gessel-Viennot determinant for the number of configurations of $N$ non-intersecting directed lattice paths, or vicious walkers, with various boundary conditions. Our theorems are sufficiently general to allow generalisation to any regular planar lattice.
dc.identifierhttps://arxiv.org/abs/math/0006153
dc.identifierhttp://arxiv.org/abs/math/0006153
dc.identifierAnnals of Combinatorics 3 (1999) 251-263
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59444
dc.subjectCombinatorics
dc.subjectMathematical Physics
dc.subject05A15; 82B41
dc.titleFrom the Bethe Ansatz to the Gessel-Viennot Theorem
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