Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz Auteur(s): Belliard S., Crampé N. (Article) Publié: Symmetry, Integrability And Geometry: Methods And Applications, vol. 9 p.072 (2013) Texte intégral en Openaccess : Ref HAL: hal-00908656_v1 Ref Arxiv: 1309.6165 DOI: 10.3842/SIGMA.2013.072 WoS: 000327734600001 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 88 Citations Résumé: We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. The ansatz takes the usual form of a product of operators acting on a particular vector except that the number of operators is equal to the length of the chain. We prove this result for the chains with small length. We obtain also an off-shell equation (i.e. satisfied without the Bethe equations) formally similar to the ones obtained in the periodic case or with diagonal boundaries. Commentaires: Journal: SIGMA 9 (2013), 072, 12 pages |