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Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions

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arxiv 1009.4119 v2 pith:3EB54M4B submitted 2010-09-21 cond-mat.stat-mech hep-thmath-phmath.MP

classification cond-mat.stat-mechhep-thmath-phmath.MP
keywords ansatzasepbetheboundaryeigenvectorsmodelsnon-diagonalopen
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abstract

We present a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameters obey some relations. These relations extend the ones already known in the literature in the context of algebraic or functional Bethe ansatz. The eigenvectors are represented as sums over cosets of the $BC_n$ Weyl group.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 62 citations worldwide. Full citation record

  1. Open-boundary integrable quantum circuits with different geometries

    math-ph 2026-07 unverdicted novelty 7.0 of 10

    Classification of open-boundary integrable Yang-Baxter quantum circuits with arbitrary geometries via staggered inhomogeneities, a conjecture on time-periodic integrability, and introduction of ρ-inhomogeneities enabl...

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