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Generalized Floquet formulation of time-dependent density functional theory for many-electron systems in intense laser fields

AIP Conf. Proc. -- July 5, 2000 -- Volume 525, pp. 304-318
MULTIPHOTON PROCESSES: ICOMP VIII: 8th International Conference; doi:10.1063/1.1291949

Issue Date: 5 July 2000

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Dmitry A. Telnov1,2 and Shih-I Chu1
1Department of Chemistry, University of Kansas, and Kansas Center for Advanced Scientific Computing, Lawrence, Kansas 66045
2Institute of Physics, St. Petersburg State University, 198904 St. Petersburg, Russia

We present some recent new developments of the generalized Floquet formulation of time-dependent density functional theory (TDDFT) for nonperturbative treatment of multiphoton processes of many-electron quantum systems in intense monochromatic or multi-color laser fields. It is shown that the periodically or quasi-periodically (polychromatic) time-dependent Kohn-Sham equations can be exactly transformed into an equivalent time-independent Floquet Hamiltonian matrix eigenvalue problems. A procedure is presented for the treatment of bound-bound transitions. For the bound-free transitions, such as multiphoton ionization (MPI) or multiphoton dissociation processes, we introduce the notion of "complex density" and present a non-Hermitian Floquet formalism for the treatment of complex quasi-energies of individual spin-orbitals and total many-electron systems. The procedure is demonstrated by a case study of photoionization of He atoms in the photon energy range of 25 to 50 eV. Good agreement with recent experimental data is obtained. We also perform some MPI study of He and Be atoms in intense monochromatic and two-color laser fields. ©2000 American Institute of Physics.
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KEYWORDS and PACS

Keywords
PACS
  • 31.15.Ew
    Electronic structure of atoms, molecules and their ions: theory Calculations and mathematical techniques in atomic and molecular physics (excluding electron correlation calculations) Density-functional theory
  • 32.80.Fb
    Atomic properties and interactions with photons Photon interactions with atoms Photoionization of atoms and ions
  • 32.10.Fn
    Atomic properties and interactions with photons Properties of atoms and atomic ions Fine and hyperfine structure
  • YEAR: 2000

PUBLICATION DATA

ISSN:
0094-243X (print)  
Publisher:
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