Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 7 (2011), 006, 13 pages      arXiv:1009.0408      https://doi.org/10.3842/SIGMA.2011.006
Contribution to the Proceedings of the International Workshop “Recent Advances in Quantum Integrable Systems”

Coordinate Bethe Ansatz for Spin s XXX Model

Nicolas Crampé a, b, Eric Ragoucy c and Ludovic Alonzi c
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) LAPTh, CNRS and Université de Savoie, 9 chemin de Bellevue, BP 110, 74941, Annecy-Le-Vieux Cedex, France

Received September 06, 2010, in final form January 05, 2011; Published online January 12, 2011

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 1/2 and spin 1 chains.

Key words: coordinate Bethe ansatz; spin chains.

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