Abstract
The effects of resonance and nonresonance interactions between electrons and spherical structures with spatial periodicity in the radial direction (clusters) were studied. It was shown analytically and by numerical calculations that the δ l phase shift of the wave function, which arises in resonance electron scattering by such a periodic structure of a fairly large radius r 0, was not small even at a small ratio between the U 0 amplitude of the periodic potential and scattered electron energy E(ε0=U 0/E≪1) and equaled |δ l |=π/4 (modulo π). This phase shift corresponded to the limiting case of a large Born parameter for the cluster, ξ0=r 0 U 0/ℏv≫1, where v is the characteristic velocity of the electron. The effect of nonresonance electron scattering by a periodic potential whose spatial period was incommensurate with the Brillouin wavelength of the scattered electron was considered analytically. The effect of nonresonance scattering was shown to be of a higher order in the ε0≪1 parameter than resonance scattering. The cross section of electron scattering by a cluster was calculated, which allowed the conductivity of a medium containing clusters to be estimated.
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 123, No. 1, 2003, pp. 109–119.
Original Russian Text Copyright © 2003 by A. Gordeev, I. Gordeev, Losseva.
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Gordeev, A.V., Gordeev, I.A. & Losseva, T.V. On resonance and nonresonance interactions between electrons and spatially periodic clusters. J. Exp. Theor. Phys. 96, 93–101 (2003). https://doi.org/10.1134/1.1545388
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DOI: https://doi.org/10.1134/1.1545388