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Edwin E. Quashie edited Figure_ref_fig_force_on_neighbor_shows__.tex
almost 8 years ago
Commit id: ddbad16fc9cd23f96118de9402f8b8690a60d4e8
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Figure \ref{fig:force_on_neighbor} shows the radial force exerted on a neighboring $\mathrm{Cu}$ atom closest to $\mathrm{H^+}$ trajectory as a function of parallel distance to the projectile at different projectile velocities along the $\langle 100\rangle$ channeling trajectory. The forces on the nuclei are evaluated using the time-dependent electron density, $n(\mathbf{r}, t)$.
The force is obtained by the application of the Hellmann-Feynman theorem
\cite{Hellmann_2015,1941,Feynman_1939}. \cite{Feynman_1939,1941,Hellmann_2015}.
The adiabatic force is recovered for $v \to 0$ with no oscillations as expected.
The maximum value for the force is obtained at the closest distance between $\mathrm{H^+}$ and neighbor $\mathrm{Cu}$ atom.