Excitations in Time-Dependent Density-Functional Theory

H. Appel, E. K.U. Gross, K. Burke

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


An approximate solution to the time-dependent density-functional theory response equations for finite systems is developed, yielding corrections to the single-pole approximation. These explain why allowed Kohn-Sham transition frequencies and oscillator strengths are usually good approximations to the true values, and why sometimes they are not. The approximation yields simple expressions for Görling-Levy perturbation theory results, and a method for estimating expectation values of the unknown exchange-correlation kernel.

Original languageAmerican English
Pages (from-to)4
Number of pages1
JournalPhysical Review Letters
Issue number4
StatePublished - 2003
Externally publishedYes


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