论文标题

周期性量子图上的狄拉克颗粒

Dirac particles on periodic quantum graphs

论文作者

Yusupov, J. R., Sabirov, K. K., Matrasulov, D. U.

论文摘要

我们考虑周期网络上的狄拉克方程(量子图)。自偶会准周期性边界条件得出。世俗方程使我们能够在周期性量子图上找到狄拉克颗粒的能量光谱。计算了不同拓扑的周期性量子图的带谱。观察到在某些图形拓扑的频谱中的概率的普遍性。

We consider the Dirac equation on periodic networks (quantum graphs). The self-adjoint quasi periodic boundary conditions are derived. The secular equation allowing us to find the energy spectrum of the Dirac particles on periodic quantum graphs is obtained. Band spectra of the periodic quantum graphs of different topologies are calculated. Universality of the probability to be in the spectrum for certain graph topologies is observed.

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