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

We construct a basis of solutions of the scalar $\boldsymbol{ \texttt{t} }- \boldsymbol{ \texttt{Q} }$ 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 spect...

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Bibliographic Details
Main Author: Olivier Babelon, Karol K. Kozlowski, Vincent Pasquier
Format: Article
Language:English
Published: SciPost 2018-10-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.5.4.035