deletions | additions       diff --git a/section_Introduction_The_study_of__.tex b/section_Introduction_The_study_of__.tex  index 6819b9e..fabf7ae 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 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 SRIM stopping and range of ions in matter (SRIM)  database and the experimental data. 
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