Bethe ansatz for the XXX-S chain with non-diagonal open boundaries

Details Bethe ansatz for the XXX-S chain with non-diagonal open boundaries Bethe ansatz for the XXX-S chain with non-diagonal open boundaries

2004-11-15

arxiv.org/abs/nlin/0411038v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

62 pages

Scientific paper

10.1016/j.nuclphysb.2004.12.008

We consider the algebraic Bethe ansatz solution of the integrable and isotropic XXX-S Heisenberg chain with non-diagonal open boundaries. We show that the corresponding K-matrices are similar to diagonal matrices with the help of suitable transformations independent of the spectral parameter. When the boundary parameters satisfy certain constraints we are able to formulate the diagonalization of the associated double-row transfer matrix by means of the quantum inverse scattering method. This allows us to derive explicit expressions for the eigenvalues and the corresponding Bethe ansatz equations. We also present evidences that the eigenvectors can be build up in terms of multiparticle states for arbitrary S.

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