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Application of the finite element method to time-dependent quantum mechanics: I. H and He in a laser field

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Abstract

A finite element approach is described to solve the time- dependent Hartree-Fock equation of atoms in the presence of time-dependent electromagnetic fields. Time-dependent energy changes, ionization rates and high order nonlinear optical polarizabilities, χ2n+1 (n >, 0) for the atoms H and He have been calculated. The finite element method is shown to be easily adaptable to treat intense short pulses and includes automatically both bound and continuum electronic states.

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Authors and Affiliations

  1. Laboratoire de Chimie Théeorique, Faculté des Sciences, Université de Sherbrooke, J1 K2R1, Sherbrooke, Quebec, Canada

    Hengtai Yu & André Bandrauk

  2. Advanced Workstation Division, IBM Corporation, 78758, Austin, Texas, USA

    Vijay Sonnad

Authors
  1. Hengtai Yu
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  2. André Bandrauk
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  3. Vijay Sonnad
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Yu, H., Bandrauk, A. & Sonnad, V. Application of the finite element method to time-dependent quantum mechanics: I. H and He in a laser field. J Math Chem 15, 273–286 (1994). https://doi.org/10.1007/BF01277565

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  • DOI: https://doi.org/10.1007/BF01277565

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