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    Time-dependent V-representability on lattice systems

    Li, Yonghui, 1975-
    Ullrich, Carsten A.
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    [PDF] TimeDependentVRepresentability.pdf (415.6Kb)
    Date
    2008
    Format
    Article
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    Abstract
    We study the mapping between time-dependent densities and potentials for noninteracting electronic systems on lattices. As discovered recently by Baer [J. Chem. Phys. 128, 044103 (2008) ], there exist well- behaved time-dependent density functions on lattices which cannot be associated with any real time-dependent potential. This breakdown of time-dependent V- representability can be tracked down to problems with the continuity equation which arise from discretization of the kinetic-energy operator. Examples are given for lattices with two points and with N points, and implications for practical numerical applications of time-dependent density-functional theory are discussed. In the continuum limit, time-dependent noninteracting V-representability is restored.
    URI
    http://hdl.handle.net/10355/7579
    Citation
    J. Chem. Phys. 129, 044105 (2008)
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