Krylov subspace methods for the Dirac equation

Abstract The Lanczos algorithm is evaluated for solving the time-independent as well as the time-dependent Dirac equation with arbitrary electromagnetic fields. We demonstrate that the Lanczos algorithm can yield very precise eigenenergies and allows very precise time propagation of relativistic wave packets. The unboundedness of the Dirac Hamiltonian does not hinder the applicability of the Lanczos algorithm. As the Lanczos algorithm requires only matrix–vector products and inner products, which both... Title of program: Dirac_Laczos Catalogue Id: AEUY_v1_0 Nature of problem Solving the time-dependent Dirac equation in two spatial dimensions Versions of this program held in the CPC repository in Mendeley Data AEUY_v1_0; Dirac_Laczos; 10.1016/j.cpc.2014.11.008 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要：针对任意电磁场下的含时与不含时狄拉克方程（Dirac equation）求解任务，本文对兰乔斯算法（Lanczos algorithm）开展了系统性性能评估。研究证实，该算法可获取精度优异的本征能级，且能实现相对论性波包的高精度时间演化。尽管狄拉克哈密顿量（Dirac Hamiltonian）具有无界特性，但并未阻碍兰乔斯算法的适用性。由于兰乔斯算法仅需矩阵-向量乘法与内积运算，二者均……
程序标题：Dirac_Laczos
目录编号：AEUY_v1_0
问题属性：求解二维空间中的含时狄拉克方程
存放在Mendeley数据集中的CPC（Computer Physics Communications）仓库内的该程序版本：AEUY_v1_0；Dirac_Laczos；10.1016/j.cpc.2014.11.008
本程序源自贝尔法斯特女王大学（Queen's University Belfast）所维护的CPC程序库（1969-2018）