Fermionic R-Operator for the Fermion Chain Model
Fermionic R-Operator for the Fermion Chain Model
复制标题
费米子链模型的费米子 R 算子
DOI：
10.1143/jpsj.67.1930
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发表时间：
1998
影响因子：
1.7
通讯作者：
M. Wadati
中科院分区：
文献类型：
--
作者：
Y. Umeno;M. Shiroishi;M. Wadati
在量子逆散射方法(QISM)框架下研究了一维费米子链模型的可积性。我们为费米子链模型引入了一种新的R算符，它以费米子算符的形式表示。R算符与费米子L算符满足一种新型的杨-巴克斯特关系。由该关系导出了与费米子Lax方程等价的费米子Sutherland方程。这也为费米子模型的Boost算符方法提供了数学基础。事实上，我们利用Boost算符得到了费米子模型的一些更高的守恒量。
The integrability of the one-dimensional (1D) fermion chain model is investigated in the framework of the Quantum Inverse Scattering Method (QISM). We introduce a new R -operator for the fermion chain model, which is expressed in terms of the fermion operators. The R -operator satisfies a new type of the Yang-Baxter relation with fermionic L -operator. We derive the fermionic Sutherland equation from the relation, which is equivalent to the fermionic Lax equation. It also provides a mathematical foundation of the boost operator approach for the fermion model. In fact, we obtain some higher conserved quantities of the fermion model using the boost operator.