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首页> 外文期刊>Computer physics communications >Staggered grid leap-frog scheme for the (2 + 1) D Dirac equation
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Staggered grid leap-frog scheme for the (2 + 1) D Dirac equation

机译：（2 +1）D Dirac方程的交错网格蛙跳格式

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摘要

A numerical scheme utilizing a grid which is staggered in both space and time is proposed for the numerical solution of the (2+1)D Dirac equation in the presence of an external electromagnetic potential. It preserves the linear dispersion relation of the free Weyl equation for wave vectors aligned with the grid and facilitates the implementation of open (absorbing) boundary conditions via an imaginary potential term. This explicit scheme has second order accuracy in space and time. A functional for the norm is derived and shown to be conserved. Stability conditions are derived. Several numerical examples, ranging from generic to specific to textured topological insulator surfaces, demonstrate the properties of the scheme which can handle general electromagnetic potential landscapes.
机译：针对存在外部电磁势的（2 + 1）D Dirac方程的数值解，提出了一种利用时空交错的网格的数值方案。它保留了与网格对齐的波矢量的自由Weyl方程的线性色散关系，并通过一个虚势项促进了开放（吸收）边界条件的实现。该显式方案在空间和时间上具有二阶精度。规范的功能被导出并被证明是保守的。得出稳定性条件。从通用到特定到纹理化拓扑绝缘子表面的几个数值示例说明了该方案的特性，该方案可以处理一般的电磁势态。

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