Numerical integration of the time-dependent Schrödinger equation for laser-driven helium

The full time-dependent Schrödinger equation for 2-electron atoms in intense laser fields is solved using a mixed finite-difference/basis set approach. We discuss Krylov subspace techniques for the propagation of the equation in time, and numerical methods for optimizing the description of the syste...

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Veröffentlicht in:Computer physics communications 1998-11, Vol.114 (1), p.1-14
Hauptverfasser: Smyth, Edward S., Parker, Jonathan S., Taylor, K.T.
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Parker, Jonathan S.
Taylor, K.T.
description The full time-dependent Schrödinger equation for 2-electron atoms in intense laser fields is solved using a mixed finite-difference/basis set approach. We discuss Krylov subspace techniques for the propagation of the equation in time, and numerical methods for optimizing the description of the system on a finite-difference lattice. We describe the implementation of a parallelized code based on these numerical methods, and review performance and scaling results of the code on the Cray T3D/E.
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source ScienceDirect Journals (5 years ago - present)
subjects 02.60.Lj
31.15.Fx
31.70.Hq
32.80.Fb
Finite-difference
Krylov subspace
Multiphoton processes
Time-dependent Schrödinger equation
title Numerical integration of the time-dependent Schrödinger equation for laser-driven helium
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