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TMF, 1979, Volume 40, Number 3, Pages 408–421 (Mi tmf2931)  

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

Influence of electron-phonon interaction on the motion of an electron in a one-dimensional molecular system

A. S. Davydov


Abstract: The influence of the electron-phonon interaction on the motion of an electron in a onedimensional molecular chain is investigated. It is shown that in the case of strong interaction the motion of the electron with velocity less than the velocity of a longitudinal acoustic wave in the chain is accompanied by the motion of a local deformation and has a quasisuperconducting nature. In molecular chains with large anharmonicity, it is possible to have the formation of acoustic solitons, which are displaced with velocity exceeding the velocity of sound. Such solitons can participate in the electron transport. It is suggested that the investigated phenomena could play a part in biological processes in the transport of molecules through protein molecules from donor to acceptor molecules.

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English version:
Theoretical and Mathematical Physics, 1979, 40:3, 831–840

Bibliographic databases:

Received: 20.02.1979

Citation: A. S. Davydov, “Influence of electron-phonon interaction on the motion of an electron in a one-dimensional molecular system”, TMF, 40:3 (1979), 408–421; Theoret. and Math. Phys., 40:3 (1979), 831–840

Citation in format AMSBIB
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\by A.~S.~Davydov
\paper Influence of electron-phonon interaction on the motion of an electron in a~one-dimensional molecular system
\jour TMF
\yr 1979
\vol 40
\issue 3
\pages 408--421
\mathnet{http://mi.mathnet.ru/tmf2931}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=549750}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 40
\issue 3
\pages 831--840
\crossref{https://doi.org/10.1007/BF01032070}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JN17600010}


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  • http://mi.mathnet.ru/eng/tmf/v40/i3/p408

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. Z. Ènol'skii, “Theory of the motion of an excess electron interacting with optical phonons in a one-dimensional molecular lattice”, Theoret. and Math. Phys., 44:3 (1980), 826–829  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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