arXiv subjects

W. Utiel

Publications and source records attributed to W. Utiel.

2 recordsLinked to original sources

arXiv2004

Bethe Ansatz solution for quantum spin-1 chains with boundary terms

The procedure for obtaining integrable open spin chain Hamiltonians via reflection matrices is explicitly carried out for some three-state vertex models. We have considered the 19-vertex models of Zamolodchikov-Fateev and Izergin-Korepin, and the $Z_{2}$-graded 19-vertex models with $sl(2|1)$ and $osp(1|2)$ invariances. In each case the eigenspectrum is determined by application of the coordinate Bethe Ansatz.

nlin.SI↗

arXiv2000

Off-Shell Bethe Ansatz Equation for $osp(2|1)$ Gaudin Magnets

The semi-classical limit of the algebraic Bethe Ansatz method is used to solve the theory of Gaudin models. Via the off-shell method we find the spectra and eigenvectors of the N-1 independent Gaudin Hamiltonians with symmetry osp(2|1). We also show how the off-shell Gaudin equation solves the trigonometric Knizhnik- Zamolodchikov equation.

nlin.SI↗