1306.0702 (Heiko Bauke et al.)

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

Heiko Bauke, Michael Klaiber, Enderalp Yakaboylu, Karen Z. Hatsagortsyan, Sven Ahrens, Carsten Müller, Christoph H. Keitel

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.

View original: http://arxiv.org/abs/1306.0702