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TMF, 1989, Volume 78, Number 1, Pages 109–115 (Mi tmf4720)  

Energy spectrum in the force field of an electrostatic image

O. F. Dorofeev, B. A. Lysov, O. S. Pavlova, I. M. Ternov


Abstract: A new model is suggested for describing localized electronic states in the vicinity of the surface of liquid helium. The model exploits nonuniqueness of self-adjoint extensions of the hamiltonian for an electron moving in an electrostatic image-induced potential near the flat interface isolator–vacuum. Unlike the Grimes model, the model proposed has only one phenomenological parameter, the mixing angle. It is shown that a proper choice of the mixing angle makes it possible to present the complete explanation of spectroscopic data on electrical dipole transitions between one-particle electronic states localized above the surface of liquid $^4\mathrm{He}$ or $^3\mathrm{He}$.

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English version:
Theoretical and Mathematical Physics, 1989, 78:1, 78–82

Bibliographic databases:

Received: 03.06.1987

Citation: O. F. Dorofeev, B. A. Lysov, O. S. Pavlova, I. M. Ternov, “Energy spectrum in the force field of an electrostatic image”, TMF, 78:1 (1989), 109–115; Theoret. and Math. Phys., 78:1 (1989), 78–82

Citation in format AMSBIB
\Bibitem{DorLysPav89}
\by O.~F.~Dorofeev, B.~A.~Lysov, O.~S.~Pavlova, I.~M.~Ternov
\paper Energy spectrum in~the force field of~an~electrostatic image
\jour TMF
\yr 1989
\vol 78
\issue 1
\pages 109--115
\mathnet{http://mi.mathnet.ru/tmf4720}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 78
\issue 1
\pages 78--82
\crossref{https://doi.org/10.1007/BF01016919}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1989AL44300010}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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