FUNCTIONAL BETHE ANSATZ
FUNCTIONAL BETHE ANSATZ
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功能性贝特·安萨茨
DOI：
10.1142/9789812797179_0002
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发表时间：
1990
影响因子：
2.4
通讯作者：
Evgeny Sklyanin
中科院分区：
文献类型：
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作者：
Evgeny Sklyanin
函数 Bethe Ansatz (FBA) 是通过量子逆散射方法获取可积量子模型光谱的过程。与其他 Bethe Ansatze 相比，FBA 的优点是：可以解决的模型类别更广泛，与传统变量分离的联系更透明。对 Bethe Ansatz 的已知变体进行了简短的比较回顾。 FBA流程以XXX-磁力链为例进行说明。其他示例包括：Goryachev-Chaplygin 陀螺、Toda 链和非线性薛定谔方程。还讨论了该方法的前景和未解决的问题。
The Functional Bethe Ansatz (FBA) is a procedure of obtaining the spectrum for the quantum models integrable via the Quantum Inverse Scattering Method. The advantages of FBA as compared to other Bethe Ansatze are: more broad class of models which can be solved and more transparent connection with the traditional separation of variables. A short comparative review is given of the known variants of Bethe Ansatz. The FBA procedure is explained on the example of the XXX-magnetic chain. Other examples presented are: Goryachev-Chaplygin top, Toda chain and the nonlinear Schrödinger equation. The perspectives of the method and unsolved problems are also discussed.