Eigenvectors of the Baxter-Bazhanov-Stroganov τ(2)(tq) model with fixed-spin boundary conditions
Eigenvectors of the Baxter-Bazhanov-Stroganov τ(2)(tq) model with fixed-spin boundary conditions
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DOI：
10.1007/s11232-008-0048-1
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发表时间：
2007-05
影响因子：
1
通讯作者：
N. Iorgov;V. Shadura;Y. Tykhyy
中科院分区：
文献类型：
--
作者：
N. Iorgov;V. Shadura;Y. Tykhyy
We give explicit formulas for the eigenvectors of the transfer matrix of the Baxter-Bazhanov-Stroganov (BBS) model (N-state spin model) with fixed-spin boundary conditions. We obtain these formulas from the formulas for the eigenvectors of the periodic BBS model by a limit procedure. The latter formulas were derived in the framework of Sklyanin’s method of separation of variables. In the case of fixed-spin boundaries, we solve the corresponding T-Q Baxter equations for the functions of separated variables explicitly. As a particular case, we obtain the eigenvectors of the Hamiltonian of the Ising-like ℤNquantum chain model.
