A simple and accurate mixed solver for the Maxwell–Dirac equations

✍ Scribed by E. Lorin; A. Bandrauk

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 426 KB
• Volume: 12
• Category: Article
• ISSN: 1468-1218
• DOI: 10.1016/j.nonrwa.2010.06.007

✦ Synopsis

In this paper we propose and analyze a simple but accurate numerical method for solving the Maxwell-Dirac system for relativistic particles submitted to an external ultrashort intense pulse. Maxwell's equations are solved using a second order finite element method in space and time. The Dirac equation solver is based on a method of characteristics with a P 0 formulation of the Dirac spinor field. Numerical simulations are provided to show the efficiency of the method.