Bethe ansatz solution for quantum spin-1 chains with boundary terms Original Research Article

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 Z2-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.