Chapter

Density Functionals: Theory and Applications

Volume 500 of the series Lecture Notes in Physics pp 116-146

Date:

A guided tour of time-dependent density functional theory

  • Kieron BurkeAffiliated withDepartment of Chemistry, Rutgers University
  • , E. K. U. GrossAffiliated withInstitut für Theoretische Physik, Universität Würzburg

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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.