Geodesic
“Electron ping-pong" on a one-dimensional lattice: Wave packet motion up to the first reflection
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 279-299
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We consider the time evolution of the electron wave function on a one-dimensional lattice consisting of $N$ identical sites and a single impurity site that differs from the rest of the lattice by the on-site energy and the hopping integral. At the initial instant, the wave function is entirely localized at the impurity site. With time, a localized wave packet forms, which moves over the lattice and reflects from its end. The process of reflection from the ends repeats many times and is called "electron ping-pong". We obtain analytic expressions for the propagation of the wave packet front at different values of the problem parameters. The analytic expressions agree perfectly with numerical simulation results.
Keywords: charge transfer, wave packet. 
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     title = {{\textquotedblleft}Electron ping-pong" on a~one-dimensional lattice: {Wave} packet motion up to the~first reflection},
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V. N. Likhachev; T. Yu. Astakhova; G. A. Vinogradov. “Electron ping-pong" on a one-dimensional lattice: Wave packet motion up to the first reflection. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 279-299. http://geodesic.mathdoc.fr/item/TMF_2013_175_2_a8/

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