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

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
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https://hal-cea.archives-ouvertes.fr/cea-01787571
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Submitted on : Monday, May 7, 2018 - 4:19:57 PM
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O. Babelon, K. Kozlowski, V. Pasquier. Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE. SciPost Physics, SciPost Foundation, 2018, 5, pp.035. ⟨10.21468/SciPostPhys.5.4.035⟩. ⟨cea-01787571⟩

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