Iterative construction of eigenfunctions of the monodromy matrix for SL(2,C)?> magnet

Iterative construction of eigenfunctions of the monodromy matrix for SL(2,C)?> magnet
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SL(2,C)?> 磁体的单向矩阵本征函数的迭代构造

DOI:
10.1088/1751-8113/47/30/305204
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发表时间:
2014
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
A. Manashov
A. Manashov
中科院分区:
--
文献类型:
--
作者:
S. Derkachov;S. Derkachov;A. Manashov;A. Manashov

文献摘要

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单调矩阵的矩阵元素的本征函数为自旋链模型的研究提供了方便的基础。我们给出了一种构造SL(2,C)?>自旋链情况下本征函数的迭代方法。我们导出了本征函数的显式积分表示,并计算了相应的标量积(Sklyanin测度)。
Eigenfunctions of the matrix elements of the monodromy matrix provide a convenient basis for studies of spin chain models. We present an iterative method for constructing the eigenfunctions in the case of SL(2,C)?> spin chains. We derived an explicit integral representation for the eigenfunctions and calculated the corresponding scalar products (Sklyanin's measure).