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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1993 Volume 94, Number 2, Pages 343–352 (Mi tmf1426)

This article is cited in 2 papers

Electron zitterbewegung in a linear crystal with alternating parity

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

Institute of Metal Physics, Ural Division of the Russian Academy of Sciences

Abstract: It is shown thatin a linear periodic chain at whose sites electron wave functions of opposite parities alternate the existence of zitterbewegung of a nonrelativistic electron can be established without passage to the limiting case of a continuum. An analogy is established with the relations obtained earlier by the authors for the motion of a nonrelativistic electron in a two-site system. The zitterbewegung of the nonrelativistic electron in the considered system is given an interpretation analogous to the interpretation obtained by the first two authors for the zitterbewegung of a relativistic electron in Dirac's theory. A connection between the energy and effective mass of the nonrelativistic electron in the considered system is established.

Received: 18.03.1992


 English version:
Theoretical and Mathematical Physics, 1993, 94:2, 243–249

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