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

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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24 pages, LaTex, some misprints removed

Scientific paper

10.1016/S0550-3213(02)00027-5

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.

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