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arXiv · 1306.0702

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

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

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Heiko Bauke, Michael Klaiber, Enderalp Yakaboylu, Karen Z. Hatsagortsyan, Sven Ahrens, Carsten Müller, Christoph H. Keitel. 2013-06-04. Computational relativistic quantum dynamics and its application to relativistic tunneling and Kapitza-Dirac scattering. https://doi.org/10.1117/12.2021736

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