deletions | additions       diff --git a/section_Introduction_The_study_of__.tex b/section_Introduction_The_study_of__.tex  index fabf7ae..5068a8a 100644  --- a/section_Introduction_The_study_of__.tex  +++ b/section_Introduction_The_study_of__.tex 
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In recent times, the development of time-dependent methods has opened new ways in describing slowing down of charged projectiles in matter theoretically. Time-dependent density functional theory (TDDFT) especially provides non-perturbative and self-consistent treatment of electron dynamics in many body systems.[put more paper references here].  In this article we apply the formalism of TDDFT using plane-wave basis to model the electron dynamics dynamics(put prl, 39,40)  for the case of light projectile (proton) in bulk copper. We evaluate the capability of the method to calculate the electronic stopping power $\mathrm(S_e)$ for copper and correlating the accuracy of the simulation results with those contained in the stopping and range of ions in matter (SRIM) database and the experimental data.
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