# Krylov subspace methods for the Dirac equation

## Description

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)