Discretizing the one-dimensional Dirac equation

被引：3

作者：

Wessels, PPF ^{[1
]}

Caspers, WJ ^{[1
]}

Wiegel, FW ^{[1
]}

机构：

[1] Univ Twente, Dept Appl Phys, NL-7500 AE Enschede, Netherlands

来源：

EUROPHYSICS LETTERS | 1999年 / 46卷 / 02期

关键词：

D O I：

10.1209/epl/i1999-00234-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We suggest a discretization of the Dirac equation based on time symmetry. This iterative scheme is correct to second order in a, the lattice distance in time, and can therefore be considered as an improvement to the master equation suggested implicitly by Gaveau et al. (Phys. Rev. Lett., 53 (1984) 419), which generates the Feynman checkerboard propagator. Due to time symmetry this new scheme automatically conserves probability density.

引用

页码：123 / 126

页数：4

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