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


  • S.S. Sokolov B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov 61103, Ukraine


Ключові слова:

PACS: 73.10.Di; 73.20.Dx; 73.90. f


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.


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Як цитувати

Sokolov, S. Variational Approach to the Problem of Energy Spectrum of Surface Electrons over Liquid-Helium Film. Fiz. Nizk. Temp. 2004, 30, 271-275.



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