Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE
Mathematical Physics
2018-10-17 v3 math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct a basis of solutions of the scalar equation describing the spectrum of the -Toda and Toda 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.
Keywords
Cite
@article{arxiv.1804.01749,
title = {Solution of Baxter equation for the $q$-Toda and Toda$_2$ chains by NLIE},
author = {O. Babelon and K. K. Kozlowski and V. Pasquier},
journal= {arXiv preprint arXiv:1804.01749},
year = {2018}
}
Comments
37 pages,1 figure, V3 minor corrections