论文标题

代数Bethe Ansatz,用于开放XXX Heisenberg链的Q-操作员任意旋转

Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin

论文作者

Frassek, Rouven, Szécsényi, István M.

论文摘要

在本说明中,我们为旋转的S开放式海森堡XXX链构造了Q-操作器,并在量子逆散射方法的框架中具有对角线边界。遵循代数的贝尔斯(Bethe ansatz),我们使用基本的换向关系对角度对角线进行了对角线。通过对伯特壳状状态作用,并明确评估辅助空间中的痕迹,我们根据伯特的根来计算Q-操作员的特征值,并表明如果满足伯特方程式,不需要的术语消失了。

In this note we construct Q-operators for the spin s open Heisenberg XXX chain with diagonal boundaries in the framework of the quantum inverse scattering method. Following the algebraic Bethe ansatz we diagonalise the introduced Q-operators using the fundamental commutation relations. By acting on Bethe off-shell states and explicitly evaluating the trace in the auxiliary space we compute the eigenvalues of the Q-operators in terms of Bethe roots and show that the unwanted terms vanish if the Bethe equations are satisfied.

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