Recent Advances in Computational Methods for the Solution of the Time-Dependent Schrödinger Equation for the Interaction of Short, Intense Radiation with One and Two Electron Systems

  • Barry I. Schneider
  • Johannes Feist
  • Stefan Nagele
  • Renate Pazourek
  • Suxing Hu
  • Lee A. Collins
  • Joachim Burgdörfer
Chapter
Part of the CRM Series in Mathematical Physics book series (CRM)

Abstract

In the past few years new and efficient algorithms have been developed to solve the time-dependent Schrödinger equation (TDSE) for few-electron systems. When coupled with the advances in and availability of high performance computing platforms, it is now possible to numerically calculate nearly exact solutions to the interactions of short, intense laser pulses with simple one and two-electron systems. In addition, somewhat less accurate treatments of the heavier rare gases and simple two-electron molecules are also becoming available. The proceedings from this workshop have provided a unique opportunity to describe the substantial numerical and algorithmic progress that has been achieved over the past few years to solve the TDSE and to illustrate them on the He atom and \(\text H_2^+\) molecule.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Barry I. Schneider
    • 1
  • Johannes Feist
    • 2
  • Stefan Nagele
    • 3
  • Renate Pazourek
    • 3
  • Suxing Hu
    • 4
  • Lee A. Collins
    • 5
  • Joachim Burgdörfer
    • 3
  1. 1.Office of Cyberinfrastructure and Physics DivisionNational Science FoundationArlingtonUSA
  2. 2.ITAMP, Harvard–Smithsonian Center for AstrophysicsCambridgeUSA
  3. 3.Institut für Theoretische PhysikTechnische Universität WienWienAustria
  4. 4.Laboratory for Laser EnergeticsUniversity of RochesterRochesterUSA
  5. 5.Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA

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