Ab Initio Methods for Few- and Many-Electron Atomic Systems in Intense Short-Pulse Laser Light

  • M. A. Lysaght
  • L. R. Moore
  • L. A. A. Nikolopoulos
  • J. S. Parker
  • H. W. van der Hart
  • K. T. Taylor
Chapter
Part of the CRM Series in Mathematical Physics book series (CRM)

Abstract

We describe how we have developed an ab initio method for solving the time-dependent Schrödinger equation for multielectron atomic systems exposed to intense short-pulse laser light. Our starting point for this development is to take over the algorithms and numerical methods employed in the HELIUM code we formerly developed and which has proved highly successful at describing few-electron atoms and atomic ions in strong laser fields. We describe how we have extended the underlying methods of HELIUM to describe multielectron systems exposed to intense short-pulse laser light. We achieve this extension through exploiting the powerful R-matrix division-of-space concept to bring together a numerical method (basis set) most appropriate to the multielectron finite inner region and a different numerical method (finite difference) most appropriate to the one-electron outer region. In order for the method to exploit massively parallel supercomputers efficiently, we time-propagate the wave function in both regions by employing schemes based on the Arnoldi method, long employed in HELIUM.

Keywords

Microwave Helium Sapphire Auger Paral 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • M. A. Lysaght
    • 1
  • L. R. Moore
    • 1
  • L. A. A. Nikolopoulos
    • 2
  • J. S. Parker
    • 1
  • H. W. van der Hart
    • 1
  • K. T. Taylor
    • 1
  1. 1.School of Mathematics and PhysicsQueen’s University BelfastBelfastUK
  2. 2.School of Physical SciencesDublin City UniversityDublin 9Ireland

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