论文标题

二维DIRAC方程的数值问题

Numerical issues of the two-dimensional Dirac equation

论文作者

Sun, Jiale, Lin, Xiaoshui

论文摘要

二维DIRAC方程已被广泛用于石墨烯物理学,拓扑绝缘子的表面,尤其是量子疤痕。尽管几年前提出了一种解决任意限制问题的数值方法,但必须彻底理解和解决一些基本问题。在这项工作中,我们掩盖和应对这些挑战,并最终开发出一种完整的方法,并通过与分析结果进行比较来验证。

The two-dimensional Dirac equation has been widely used in graphene physics, the surface of topological insulators, and especially quantum scarring. Although a numerical approach to tackling an arbitrary confining problem was proposed several years ago, several fundamental issues must be thoroughly understood and solved. In this work, we conceal and address these challenges and finally develop a complete method, validated by comparison with analytical results.

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