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The year 2004 was a remarkable one for the growing ?eld of
time-dependent density functional theory (TDDFT). Not only did we
celebrate the 40th - niversary of the Hohenberg-Kohn paper, which
had laid the foundation for ground-state density functional theory
(DFT), but it was also the 20th - niversary of the work by Runge
and Gross, establishing a ?rm footing for the time-dependent
theory. Because the ?eld has grown to such prominence, and has
spread to so many areas of science (from materials to
biochemistry), we feel that a volume dedicated to TDDFT is most
timely. TDDFT is based on a set of ideas and theorems quite
distinct from those governingground-stateDFT, butemployingsimilar
techniques.Itisfarmore than just applying ground-state DFT to
time-dependent problems, as it - volves its own exact theorems and
new and di?erent density functionals. Presently,
themostpopularapplicationistheextractionofelectronicexcit- state
properties, especially transition frequencies. By applying TDDFT
after thegroundstateofamoleculehasbeenfound,
wecanexploreandunderstand the complexity of its spectrum, thus
providing much more information about the species. TDDFT has a
especially strong impact in the photochemistry of biological
molecules, where the molecules are too large to be handled by t-
ditional quantum chemical methods, and are too complex to be
understood with simple empirical frontier orbital theo
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