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Exact solution of the relativistic quantum Toda chain

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arxiv 1609.07385 v2 pith:CAUJUWUU submitted 2016-09-23 math-ph hep-thmath.MPnlin.SI

Xin Zhang , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang This is my paper · ORCID
classification math-phhep-thmath.MPnlin.SI
keywords modelchainexactlocalquantumrelativistictodaalgebraic
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The relativistic quantum Toda chain model is studied with the generalized algebraic Bethe Ansatz method. By employing a set of local gauge transformations, proper local vacuum states can be obtained for this model. The exact spectrum and eigenstates of the model are thus constructed simultaneously.

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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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