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TIME DEPENDENT DENSITY FUNCTIONAL THEORY ... - TDDFT.org

TIME DEPENDENT DENSITY FUNCTIONAL THEORY ... - TDDFT.org

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An overview of basic concepts in <strong>TDDFT</strong> and<br />

some new extensions<br />

Robert van Leeuwen<br />

Groningen, The Netherlands<br />

We give an overview of the underlying concepts of time-dependent density-functional theory<br />

(<strong>TDDFT</strong>). This includes an extension of the Runge-Gross theorem, the question of the invertibility<br />

of the density-density reponse function, and a discussion of the subtleties related to the action<br />

principle. We will further discuss a way to construct density-functionals that incorporate memory<br />

effects and satisfy basic conservation laws. We finally discuss a multi-component extension of<br />

<strong>TDDFT</strong> in order to treat coupled electronic and nuclear motion. This will provide a <strong>TDDFT</strong><br />

formalism that can be applied to a treatment of the electron-phonon interaction and to molecules<br />

in strong laser fields.<br />

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