Adiabatic approximation within time-dependent density functional theory using inversion of the ground-state spin-density Kohn-Sham formalism

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Original languageEnglish
Pages (from-to)143-146
Number of pages4
JournalChemical Physics
Volume391
Issue number1
Publication statusPublished - 13 Feb 2011

Abstract

It has recently been shown by Thiele et al. [M. Thiele, E. K. U. Gross, S. Kümmel, Phys. Rev. Lett. 100 (2008) 153004] that the exact adiabatic approximation in time-dependent density functional theory gives a good description of non-sequential double ionization in the one-dimensional helium atom. In this paper, we propose an adiabatic approximation based on the inversion of ground-state spin-density functional theory and apply it to several model systems. We demonstrate that our approach reproduces the derivative discontinuity and yields correlation potentials close to the exact correlation potentials for a strong-field ionization process as well as for the 1D H 2 and LiH molecules at large internuclear distance.

Keywords

    Adiabatic approximation, Derivative discontinuity, Inversion problem, Strong-field ionization, Time-dependent density functional theory

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Adiabatic approximation within time-dependent density functional theory using inversion of the ground-state spin-density Kohn-Sham formalism. / Dreissigacker, Ingo; Lein, Manfred.
In: Chemical Physics, Vol. 391, No. 1, 13.02.2011, p. 143-146.

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keywords = "Adiabatic approximation, Derivative discontinuity, Inversion problem, Strong-field ionization, Time-dependent density functional theory",
author = "Ingo Dreissigacker and Manfred Lein",
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T1 - Adiabatic approximation within time-dependent density functional theory using inversion of the ground-state spin-density Kohn-Sham formalism

AU - Dreissigacker, Ingo

AU - Lein, Manfred

N1 - Funding Information: We thank the Deutsche Forschungsgemeinschaft for funding the Centre for Quantum Engineering and Space–Time Research (QUEST). Copyright: Copyright 2011 Elsevier B.V., All rights reserved.

PY - 2011/2/13

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AB - It has recently been shown by Thiele et al. [M. Thiele, E. K. U. Gross, S. Kümmel, Phys. Rev. Lett. 100 (2008) 153004] that the exact adiabatic approximation in time-dependent density functional theory gives a good description of non-sequential double ionization in the one-dimensional helium atom. In this paper, we propose an adiabatic approximation based on the inversion of ground-state spin-density functional theory and apply it to several model systems. We demonstrate that our approach reproduces the derivative discontinuity and yields correlation potentials close to the exact correlation potentials for a strong-field ionization process as well as for the 1D H 2 and LiH molecules at large internuclear distance.

KW - Adiabatic approximation

KW - Derivative discontinuity

KW - Inversion problem

KW - Strong-field ionization

KW - Time-dependent density functional theory

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