English

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

Quantum Physics 2013-06-05 v1 Atomic Physics Computational Physics

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.

Keywords

Cite

@article{arxiv.1306.0702,
  title  = {Computational relativistic quantum dynamics and its application to relativistic tunneling and Kapitza-Dirac scattering},
  author = {Heiko Bauke and Michael Klaiber and Enderalp Yakaboylu and Karen Z. Hatsagortsyan and Sven Ahrens and Carsten Müller and Christoph H. Keitel},
  journal= {arXiv preprint arXiv:1306.0702},
  year   = {2013}
}