论文标题
透明量子图中的狄拉克颗粒:分支结构中相对论准颗粒的可调传输
Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures
论文作者
论文摘要
我们考虑具有透明分支点的量子图中相对论自旋粒子的动力学。该系统是通过将量子图概念与应用于度量图上的DIRAC方程应用的透明边界条件的一种结合来建模的。在这样的方法中,我们得出了简单的约束,它可以将通常的基尔chhoff型边界条件转化为等同于透明的边界条件。我们的方法应用于量子星图。更复杂的图形拓扑的扩展非常简单。
We consider the dynamics of relativistic spin-half particles in quantum graphs with transparent branching points. The system is modeled by combining the quantum graph concept with the one of transparent boundary conditions applied to the Dirac equation on metric graphs. Within such an approach, we derive simple constraints, which turn the usual Kirchhoff-type boundary conditions at the vertex equivalent to the transparent ones. Our method is applied to quantum star graph. An extension to more complicated graph topologies is straightforward.