Computational relativistic quantum dynamics and its application to relativistic tunneling and Kapitza-Dirac scattering

Abstract

Computational methods are indispensable to study the quantum dynamics of relativistic light-matter interactions in parameter regimes where analytical methods become inapplicable. We present numerical methods for solving the time-dependent Dirac equation and the time-dependent Klein-Gordon equation and their implementation on high performance graphics cards. These methods allow us to study tunneling from hydrogen-like highly charged ions in strong laser fields and Kapitza-Dirac scattering in the relativistic regime.

References in corpus (3)

• Extremely high-intensity laser interactions with fundamental quantum systems
• Under-the-barrier dynamics in laser-induced relativistic tunneling
• Spin dynamics in the Kapitza-Dirac effect