Nicolas Crampé, Eric Ragoucy, Ludovic Alonzi, “Coordinate Bethe Ansatz for Spin <nobr>$s$</nobr> XXX Model”, SIGMA, 2011, Volume 7,006, 13 pp.

RUS ENG

JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2011 Volume 7, 006, 13 pp. (Mi sigma564)

This article is cited in 9 papers

Coordinate Bethe Ansatz for Spin $s$ XXX Model

Nicolas Crampé^ab, Eric Ragoucy^cd, Ludovic Alonzi^cd

^a Université Montpellier 2, Laboratoire Charles Coulomb UMR 5221, F-34095 Montpellier, France
^b CNRS, Laboratoire Charles Coulomb UMR 5221, F-34095 Montpellier, France
^c Université de Savoie
^d LAPTh, CNRS, 9 chemin de Bellevue, BP 110, 74941, Annecy- Le-Vieux Cedex, France

Abstract: We compute the eigenfunctions and eigenvalues of the periodic integrable spin $s$ XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results generalize what has been obtained for spin $\frac12$ and spin 1 chains.

Keywords: coordinate Bethe ansatz; spin chains.

MSC: 81R12; 17B80

Received: September 6, 2010; in final form January 5, 2011; Published online January 12, 2011

Language: English

DOI: 10.3842/SIGMA.2011.006

Bibliographic databases:

ArXiv: 1009.0408

© Steklov Math. Inst. of RAS, 2025