Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE-Reference-Cited by-同舟云学术

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

Published:2018-10-18 Issue:4 Volume:5 Page:
ISSN:
Container-title:SciPost Physics
language:
Short-container-title:SciPost Phys.

Author:

Babelon Olivier¹,Kozlowski Karol²^ORCID,Pasquier Vincent³

Affiliation:

1. Claude Bernard University Lyon 1

2. Sorbonne University

3. University of Paris-Saclay

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.

Funder

Conseil National de la Recherche Scientifique

Publisher

Stichting SciPost

Link

https://scipost.org/10.21468/SciPostPhys.5.4.035/pdf

Reference17 articles.

1. Baxter Operator and Baxter Equation for q-Toda and Toda2 Chains

2. The Toda $$_2$$ 2 chain

3. QUANTUM DILOGARITHM

4. Explicit inverses of some tridiagonal matrices

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

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