透明量子图中的狄拉克粒子：相对论准粒子在分支结构中的可调输运
Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures
摘要：
我们考虑了具有透明分支点的量子图中相对论性自旋半粒子的动力学。该系统的建模相结合的量子图的概念和透明的边界条件之一，应用到狄拉克方程的度规图。在这样的方法中，我们得到简单的约束，把通常的基尔霍夫型边界条件在顶点等效的透明的。我们的方法被应用到量子星图。对更复杂的图拓扑的扩展是简单的。
英文摘要：
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.
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