Variational approach to the problem of energy spectrum of surface electrons over liquid-helium film

The energies of first two subbands are calculated, within a variational approach, for electrons localized over the surface of a liquid-helium film covering a solid substrate. The results are obtained for arbitrary value of the dielectric constant of the solid substrate, covering both the limit of...

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Bibliographic Details
Date:2004
Main Author: Sokolov, S.S.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2004
Series:Физика низких температур
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Variational approach to the problem of energy spectrum of surface electrons over liquid-helium film / S.S. Sokolov // Физика низких температур. — 2004. — Т. 30, № 3. — С. 271-275. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The energies of first two subbands are calculated, within a variational approach, for electrons localized over the surface of a liquid-helium film covering a solid substrate. The results are obtained for arbitrary value of the dielectric constant of the solid substrate, covering both the limit of a substrate with a dielectric constant close to unity (such as a rare gas solid) and a metal. The results for the subband energies for a metallic substrate are compared with those obtained previously by a different method by Gabovich, Ilchenko, and Pashitskii. The agreement is rather good supporting the applicability of the variational method for calculating the energy spectrum of surface electrons in a wide range of substrate parameters.