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Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries

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arxiv 1411.7954 v2 pith:LWQ33GWE submitted 2014-11-28 math-ph cond-mat.stat-mechmath.MPnlin.SI

Nicolas Crampe This is my paper · ORCID
classification math-phcond-mat.stat-mechmath.MPnlin.SI
keywords algebraicansatzasymmetricbetheboundariesexclusionmethodprocess
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We study the one-dimensional totally asymmetric simple exclusion process in contact with two reservoirs including also a fugacity at one boundary. The eigenvectors and the eigenvalues of the corresponding Markov matrix are computed using the modified algebraic Bethe ansatz, method introduced recently to study the spin chain with non-diagonal boundaries. We provide in this case a proof of this method.

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  1. The $q$-Racah polynomials from scalar products of Bethe states II

    math-ph 2025-01 conditional novelty 6.0 of 10

    The paper derives normalized scalar products of on-shell and off-shell Bethe states using Leonard triples, obtains explicit solutions of Belliard-Slavnov systems, and gives a determinant formula for q-Racah polynomials.

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