Intertwining operators and S matrix
Intertwining operators and S matrix
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交织算子和 S 矩阵
DOI：
10.1134/1.1490106
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发表时间：
2002
影响因子：
0.4
通讯作者：
G. A. Kerimov
中科院分区：
文献类型：
--
作者：
G. A. Kerimov
研究了一类与半单李群G有关的一维多体系统。这些系统的哈密顿量用基础对称群G的Casimir算子(或等价地，对称空间上的Laplace-Beltrami算子)来表示。证明了所有这些问题的矩阵都与群G的交织算子有关。这种联系立即提供了矩阵的函数形式。此外，这种联系还可以证明多粒子S-矩阵元素可以用两粒子S-矩阵元素来表示。
The class of one-dimensional many-body systems related to semisimple Lie groupsGis studied. The Hamiltonians of these systems are expressed in terms of Casimir operators (or, equivalently, Laplace-Beltrami operators on symmetric spaces) of underlying symmetry groupsG. It turns out that theSmatrix for all these problems is related to the intertwining operators for groupsG. This connection provides immediately the functional form of theSmatrix. Moreover, this connection allows one to prove that multiparticleS-matrix elements can be expressed in terms of two-particle ones.