Matrix Coordinate Bethe Ansatz: Applications to XXZ and ASEP models Auteur(s): Crampé N., Ragoucy E., Simon D. (Article) Publié: Journal Of Physics A: Mathematical And Theoretical, vol. 44 p.405003 (2011) Texte intégral en Openaccess : Ref HAL: hal-00603322_v1 Ref Arxiv: 1106.4712 DOI: 10.1088/1751-8113/44/40/405003 WoS: 000295840400004 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 35 Citations Résumé: We present the construction of the full set of eigenvectors of the open ASEP and XXZ models with special constraints on the boundaries. The method combines both recent constructions of coordinate Bethe Ansatz and the old method of matrix Ansatz specific to the ASEP. This "matrix coordinate Bethe Ansatz" can be viewed as a non-commutative coordinate Bethe Ansatz, the non-commutative part being related to the algebra appearing in the matrix Ansatz. Commentaires: 18 pages. |