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    On the relation between the scalar and tensor exchange-correlation kernels of the time-dependent density-functional theory

    Nazarov, V. U.
    Vignale, Giovanni, 1957-
    Chang, Y.-C.
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    [PDF] OnRelationBetweenScalarTensor.pdf (95.84Kb)
    Date
    2010
    Format
    Article
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    Abstract
    The scalar $f_{xc}$ and tensor $\hat{f}_{xc}$ exchange-correlation (xc) kernels are key ingredients of the time-dependent density functional theory and the time-dependent current density functional theory, respectively. We derive a comparatively simple relation between these two kernels under the assumption that the dynamic xc can be considered "weak". We expect our formula to serve as a convenient bridge between the scalar $f_{xc}$ which directly enters many applications and the tensor $\hat{f}_{xc}$ which, due to its locality in space, is much easier to approximate.
    URI
    http://hdl.handle.net/10355/7633
    Citation
    arXiv:1001.2795v1
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    • Physics and Astronomy publications (MU)

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