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Alfredo A. Correa edited Recently_from_a_phenomenological_point__.tex
over 8 years ago
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The development of time dependent density functional theory (TDDFT) \cite{Runge_1984} enhanced the study of many body problems and in particular the problem at hand.
It has enjoyed much consideration owing to its electron dynamics both self-consistency and non-perturbative way \cite{Kohn_1965} and allowed for an atomistic \emph{ab initio} perspective.
Alternative
Tight-Bing time dependent tight-binding have been proposed as well to overcome size limitations\cite{Mason_2012}.
In studying the role of ion-solid interactions in $\mathrm{H^+ + Al}$, Correa {\emph et al} \cite{Correa_2012} have shown that the electronic excitations due to molecular dynamics (MD) are quite different from the adiabatic outcome.
Even today the inclusion of non-adiabatic effects in a real calculation poses a challenging problem.