论文标题
具有双Y界面和磁效应的对称环系统的特殊性
Peculiarity of Symmetric Ring Systems with Double Y-Junctions and the magnetic effects
论文作者
论文摘要
我们讨论了带有双Y界面的环系统中的量子动力学，其中两个臂具有相同的长度。 y结的节点可以通过u（3）参数化。考虑到数学上允许的连接条件，我们通过散射矩阵来制定此类系统。我们表明，对称环系统由两个在反射对称性下具有相同参数的节点组成，它具有显着的方面，即存在本地化状态，而当不可避免的波浪的波浪与本地化的状态相吻合时，出现了$ $ $ $ nodes $ node $ node $ $ $ $ node $ $ node $ $ node $ $ $ $ $ $ node $ node $ $ node $ $ node $ node $ $ node $ node $ node $ $ node $ $ node $ $ node $ $ node $。我们还研究了对对称环系统的磁干扰。
We discuss quantum dynamics in the ring systems with double Y-junctions in which two arms have same length. The node of a Y-junction can be parametrized by U(3). Considering mathematically permitted junction conditions seriously, we formulate such systems by scattering matrices. We show that the symmetric ring systems, which consist of two nodes with the same parameters under the reflection symmetry, have remarkable aspects that there exist localized states inevitably, and resonant perfect transmission occurs when the wavenumber of an incoming wave coincides with that of the localized states, for any parameters of the nodes except for the extremal cases in which the absolute values of components of scattering matrices take $1$. We also investigate the magnetic disturbance to the symmetric ring systems.
