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TMF, 1990, Volume 85, Number 2, Pages 211–221 (Mi tmf5945)  

This article is cited in 5 scientific papers (total in 5 papers)

Zitterbewegung of a band electron

S. V. Vonsovskii, M. S. Svirskii, L. M. Svirskaya


Abstract: An analogy is established between the zitterbewegung of a relativistic electron in Dirac's theory and the motion of a band electron in a system of two lattice points. In the case of a homogeneous static electric field the energy spectrum and indeterminacy of the wave mmnber are established by a Bogolyubov transformation. Lower limits for the effective mass of the band electron and its polarizability are determined.

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English version:
Theoretical and Mathematical Physics, 1990, 85:2, 1159–1167

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Received: 13.11.1989

Citation: S. V. Vonsovskii, M. S. Svirskii, L. M. Svirskaya, “Zitterbewegung of a band electron”, TMF, 85:2 (1990), 211–221; Theoret. and Math. Phys., 85:2 (1990), 1159–1167

Citation in format AMSBIB
\Bibitem{VonSviSvi90}
\by S.~V.~Vonsovskii, M.~S.~Svirskii, L.~M.~Svirskaya
\paper Zitterbewegung of~a~band electron
\jour TMF
\yr 1990
\vol 85
\issue 2
\pages 211--221
\mathnet{http://mi.mathnet.ru/tmf5945}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 85
\issue 2
\pages 1159--1167
\crossref{https://doi.org/10.1007/BF01086845}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1990FU79200006}


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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. S. V. Vonsovskii, M. S. Svirskii, L. M. Svirskaya, “Electron zitterbewegung in a linear crystal with alternating parity”, Theoret. and Math. Phys., 94:2 (1993), 243–249  mathnet  crossref  isi
    2. Efremov G.F., Petrov D.A., “K voprosu o rasputyvanii proizvedeniya operatorov elektronnykh plotnostei v relyativistskoi kvantovoi”, Vestnik nizhegorodskogo universiteta im. N.I. Lobachevskogo, 2011, 155–163  elib
    3. Efremov G.F., Petrov D.A., “O kharaktere dvizheniya elektrona diraka v postoyannom magnitnom pole”, Vestnik nizhegorodskogo universiteta im. N.I. Lobachevskogo, 2011, no. 2, 170–180  elib
    4. Efremov G.F., Petrov D.A., “O kharaktere dvizheniya elektrona diraka v postoyannom magnitnom pole”, Vestnik nizhegorodskogo universiteta im. N.I. Lobachevskogo, 2011, no. 2-1, 170–180  elib
    5. Rusin T.M., Zawadzki W., “Zitterbewegung of Electrons in Carbon Nanotubes Created By Laser Pulses”, J. Phys.-Condes. Matter, 26:21 (2014), 215301  crossref  isi
  •    Theoretical and Mathematical Physics
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