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      Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE

      1 , 2 , 3
      SciPost Physics
      Stichting SciPost

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          Abstract

          We construct a basis of solutions of the scalar t-Q equation describing the spectrum of the q-Toda and Toda _2 chains by using auxiliary non-linear integral equations. Our construction allows us to provide quantisation conditions for the spectra of these models in the form of thermodynamic Bethe Ansatz-like equations.

          Most cited references16

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          Relativistic Toda systems

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            The periodic Toda chain and a matrix generalization of the Bessel function recursion relations

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              QUANTUM DILOGARITHM

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                Author and article information

                Journal
                SciPost Physics
                SciPost Phys.
                Stichting SciPost
                2018
                October 18 2018
                : 5
                : 4
                Affiliations
                [1 ]Claude Bernard University Lyon 1
                [2 ]Sorbonne University
                [3 ]University of Paris-Saclay
                Article
                10.21468/SciPostPhys.5.4.035
                689f5186-db4f-4a72-8ffa-c872fb9376c1
                © 2018

                This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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                Physics
                Physics

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