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The aim of this contribution is to give the explicit formulas for theeigenvectors of the transfer-matrix of Baxter-Bazhanov-Stroganov (BBS) model(N-state spin model) with fixed-spin boundary conditions. These formulas areobtained by a limiting procedure from the formulas for the eigenvectors ofperiodic BBS model. The latter formulas were derived in the framework of theSklyanin's method of separation of variables. In the case of fixed-spinboundaries the corresponding T-Q Baxter equations for the functions ofseparated variables are solved explicitly. As a particular case we obtain theeigenvectors of the Hamiltonian of Ising-like Z_N quantum chain model.

Eigenvectors of Baxter-Bazhanov-Stroganov \tau^{(2)}(t_q) model with fixed-spin boundary conditions