Structure of matrix elements in the quantum Toda chain

Structure of matrix elements in the quantum Toda chain
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量子Toda链中矩阵元素的结构

DOI:
10.1088/0305-4470/31/44/019
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发表时间:
1998
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
F. Smirnov
F. Smirnov
中科院分区:
--
文献类型:
--
作者:
F. Smirnov

文献摘要

被引文献

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本文利用分离变量方法研究了量子户田链。我们表明,在该模型中的运营商的矩阵元素写在有限数量的“变形阿贝尔积分”。讨论了这些积分的性质。我们解释说,这些属性是必要的,以提供正确的独立运营商的数量。与经典理论作了比较。
We consider the quantum Toda chain using the method of separation of variables. We show that the matrix elements of operators in the model are written in terms of a finite number of `deformed Abelian integrals'. The properties of these integrals are discussed. We explain that these properties are necessary in order to provide the correct number of independent operators. A comparison with the classical theory is made.