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The Keldysh Formalism Applied to Time-Dependent Current-Density-Functional Theory

Author: Leeuwen, Robert van
Url: http://theochem.chem.rug.nl/publications/PDF/ft497.pdf
Format: Pdf
Year: 2003
Category: TDDFT
Pages: 25
Clicks: 1998

In this work we demonstrate how to derive the Kohn-Sham equations of time-dependent current-density functional theory from a generating action functional defined on a Keldysh time contour. These Kohn-Sham equations contain an exchange-correlation contribution to the vector potential. For this quantity we derive an integral equation. We further derive an integral equation for its functional derivative, the exchange-correlation kernel, which plays an essential role in response theory. The exchange-only limits of the latter equation is studied in detail for the electron gas and future applications are discussed.

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