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Optics and Spectroscopy, 2018, Volume 125, Issue 3, Pages 395–401
DOI: https://doi.org/10.21883/OS.2018.09.46558.279-17
(Mi os917)
 

This article is cited in 1 scientific paper (total in 1 paper)

Optics of low-dimensional structures, mesostructures, and metamaterials

Confinement of an electron in an image potential and an external electrostatic field

P. A. Golovinskiab, M. A. Preobrazhenskia

a Voronezh State Technical University, Laboratory of Physical Research, Voronezh, 394006, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, 141701, Russia
Full-text PDF (146 kB) Citations (1)
Abstract: The quasi-classical approximation is used to determine the positions of the classical turning points upon motion of an electron that is bound by an image field and a constant homogeneous electric field of the same direction. Power expansions of the coordinates of the turning points in a wide range of electron energies and field strengths are obtained. The mechanism of one-dimensional confinement of an electron, which determines a completely discrete spectrum of states, is described. The dependence of the spatial width of the confinement region on the field strength and electron energy is determined. The dependences of the electron energy in different states on the external field strength are calculated numerically. Quasi-classical quantization is performed, and the dependence of the electron energy on the width of the confinement region is determined. The energy interval of a maximum density of electron states is found, which is determined by the dependence of the width of the confinement region on the electric field strength.
Received: 01.12.2017
Revised: 14.05.2018
English version:
Optics and Spectroscopy, 2018, Volume 125, Issue 3, Pages 409–415
DOI: https://doi.org/10.1134/S0030400X18090102
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. A. Golovinski, M. A. Preobrazhenski, “Confinement of an electron in an image potential and an external electrostatic field”, Optics and Spectroscopy, 125:3 (2018), 395–401; Optics and Spectroscopy, 125:3 (2018), 409–415
Citation in format AMSBIB
\Bibitem{GolPre18}
\by P.~A.~Golovinski, M.~A.~Preobrazhenski
\paper Confinement of an electron in an image potential and an external electrostatic field
\jour Optics and Spectroscopy
\yr 2018
\vol 125
\issue 3
\pages 395--401
\mathnet{http://mi.mathnet.ru/os917}
\crossref{https://doi.org/10.21883/OS.2018.09.46558.279-17}
\elib{https://elibrary.ru/item.asp?id=36905234}
\transl
\jour Optics and Spectroscopy
\yr 2018
\vol 125
\issue 3
\pages 409--415
\crossref{https://doi.org/10.1134/S0030400X18090102}
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  • https://www.mathnet.ru/eng/os/v125/i3/p395
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Optics and Spectroscopy Optics and Spectroscopy
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