New Algebraic Approach to Scattering Problems
New Algebraic Approach to Scattering Problems
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散射问题的新代数方法
DOI：
10.1103/physrevlett.80.2976
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发表时间：
1998
影响因子：
8.6
通讯作者：
G. A. Kerimov
中科院分区：
文献类型：
--
作者：
G. A. Kerimov
考虑了由某些非紧群G的Casimir算子构造的哈密顿量所描述的量子散射系统。我们得到如下结果：若U χ和U χ <$是动力系统对称群G的Weyl等价表示，则对所有g∈ G，相应的S矩阵被约束满足SU χ（g）= U χ <$（g）S.这个关系使我们能够导出S。作为应用，导出了动力群SO 0（p，q）对应的S矩阵.
Quantum scattering systems described by Hamiltonians which are constructed from the Casimir operators of certain noncompact groups G are considered. We obtain the following result: If U χ and U χ ̃ are the Weyl-equivalent representations of the symmetry group G of the dynamical system, the corresponding S matrices are constrained to satisfy SU χ (g)= U χ ̃ (g) S, for all g∈ G. This relation enables one to derive S. As applications, the S matrices corresponding to the dynamical groups SO 0 (p, q) are derived.