On the absence of simultaneous reflection and transmission in integrable impurity systems
On the absence of simultaneous reflection and transmission in integrable impurity systems
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关于可积杂质系统中不存在同时反射和透射的问题
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
F. Gohmann
中科院分区：
文献类型：
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作者：
O. Castro;A. Fring;F. Gohmann
我们建立了在杂质存在下的Yang-Baxter方程，当透射和反射振幅在缺陷自由度上交换相应的快速度时，一般只能允许同时透射和反射的解。在没有缺陷的自由度，我们表明在完整的一般性，唯一的例外，这是理论具有快度独立的体散射矩阵。特别是具有对角散射矩阵的体理论，只能是自由玻色子和费米子，Federbush模型及其推广。这些任意子解不承认激发杂质态的可能性。
We establish that the Yang-Baxter equations in the presence of an impurity can in general only admit solutions of simultaneous tranmission and reflection when the transmission and reflection amplitudes commute in the defect degrees of freedom with an additional exchange of the corresponding rapidities. In the absence of defect degrees of freedom we show in complete generality, that the only exceptions to this are theories which possess rapidity independent bulk scattering matrices. In particular bulk theories with diagonal scattering matrices, can only be the free Boson and Fermion, the Federbush model and their generalizations. These anyonic solutions do not admit the possibility of excited impurity states.