Coordinate Bethe ansatz for spin s XXX model

N. Crampé (1) , E. Ragoucy (2) , L. Alonzi (2)

1 LPTA - Laboratoire de Physique Théorique et Astroparticules
2 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique

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.

Mots clés: coordinate Bethe ansatz; spin chains; INVARIANT INTEGRABLE MODELS; ISOTROPIC HEISENBERG CHAIN; INVERSE SCATTERING METHOD; BOSE-GAS; ARBITRARY SPINS; ONE DIMENSION

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

N. Crampé, E. Ragoucy, L. Alonzi. Coordinate Bethe ansatz for spin s XXX model. Symmetry, Integrability and Geometry : Methods and Applications, 2011, 7, pp.006. ⟨10.3842/SIGMA.2011.006⟩. ⟨hal-00515200⟩