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A guided tour of time-dependent density functional theory

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Density Functionals: Theory and Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 500))

Abstract

This chapter briefly reviews progress to date in the density functional theory of time-dependent phenomena. We discuss the fundamental theorems and their relation to other approaches. Several exact conditions are treated. We review the special case of the linear response to a weak external potential and look specifically at the linear response of the uniform electron gas, which is important for local density approximations. We discuss recent suggestions for functional approximations, including both the local current approximation and the local-with-memory density approximation. We review applications of the theory in three situations: Beyond linear response, linear response, and excitation energies, and conclude with a brief outlook.

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Authors and Affiliations

  1. Department of Chemistry, Rutgers University, 315 Penn Street, 08102, Camden, NJ

    Kieron Burke

  2. Institut für Theoretische Physik, Universität Würzburg, Am Hubland, D-97074, Würzburg, Germany

    E. K. U. Gross

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  1. Kieron Burke
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Burke, K., Gross, E.K.U. (1998). A guided tour of time-dependent density functional theory. In: Joubert, D. (eds) Density Functionals: Theory and Applications. Lecture Notes in Physics, vol 500. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106735

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