Skip to Main content Skip to Navigation
Journal articles

Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz

Abstract : 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.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-00908656
Contributor : L2c Aigle <>
Submitted on : Monday, November 25, 2013 - 10:29:00 AM
Last modification on : Wednesday, November 6, 2019 - 4:02:03 PM

Links full text

Identifiers

Collections

Citation

Samuel Belliard, Nicolas Crampé. Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz. Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2013, 9, pp.072. ⟨10.3842/SIGMA.2013.072⟩. ⟨hal-00908656⟩

Share

Metrics

Record views

454