具有固定自旋边界条件的Bazhanov-Stroganov τ^{（2）}（t_q）模型的特征向量
Eigenvectors of Baxter-Bazhanov-Stroganov τ^{(2)}(t_q) model with fixed-spin boundary conditions
摘要：
本文的目的是给出具有固定自旋边界条件的Bazhanov-Stroganov（BBS）模型（N态自旋模型）的转移矩阵的本征向量的显式表达式。这些公式是由周期BBS模型的特征向量公式通过极限方法得到的。后者的公式是在Sklyanin的分离变量的方法的框架中推导出来的。在固定自旋边界的情况下，显式求解了分离变量函数的相应T-Q Baxter方程。作为一种特殊情况，我们得到了类Ising Z_N量子链模型的哈密顿量的本征向量。
英文摘要：
The aim of this contribution is to give the explicit formulas for the eigenvectors of the transfer-matrix of Baxter-Bazhanov-Stroganov (BBS) model (N-state spin model) with fixed-spin boundary conditions. These formulas are obtained by a limiting procedure from the formulas for the eigenvectors of periodic BBS model. The latter formulas were derived in the framework of the Sklyanin's method of separation of variables. In the case of fixed-spin boundaries the corresponding T-Q Baxter equations for the functions of separated variables are solved explicitly. As a particular case we obtain the eigenvectors of the Hamiltonian of Ising-like Z_N quantum chain model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
