deletions | additions       diff --git a/Even_today_the_inclusion_of__.tex b/Even_today_the_inclusion_of__.tex  index 0b36287..fea6de7 100644  --- a/Even_today_the_inclusion_of__.tex  +++ b/Even_today_the_inclusion_of__.tex 
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Even today the inclusion of non-adiabatic effects in a real realistic  calculation poses a challenging problem because of all the aspects that need to be taken into account, electronic structure, bound states, size effects, basis sets, and the quantum-classical aspects of the problem.  The development of time dependent density functional theory (TDDFT) \cite{Runge_1984} enhanced the study of time dependent many body problems.  It is an attractive method because it is both self-consistency and non-perturbative way \cite{Kohn_1965} and allowed for an atomistic \emph{ab initio} description at a reasonable computational cost for simulation cells below a few hundred atoms. 
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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 affects the interatomic forces relative to the adiabatic outcome.   Recently Schleife \emph{et al.} \cite{Schleife_2015} have calculated the electronic stopping $(S_\text{e}$ by $\mathrm{H}$ and $\mathrm{He}$ projectile including   TDDFT non-adiabatic electron dynamics and found that off-channeling trajectories along with the inclusion of semicore electrons enhance $S_\text{e}$ resulting in better agreement with the experiment.   In this case we concentrate in a metal with a richer electronic band structure around the Fermi energy. energy, such as $\mathrm{Cu}$.