Geodesic
Electron zitterbewegung in a~linear crystal with alternating parity
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 2, pp. 343-352

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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. 
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     author = {S. V. Vonsovskii and M. S. Svirskii and L. M. Svirskaya},
     title = {Electron zitterbewegung in a~linear crystal with alternating parity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {343--352},
     publisher = {mathdoc},
     volume = {94},
     number = {2},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_94_2_a11/}
}
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S. V. Vonsovskii; M. S. Svirskii; L. M. Svirskaya. Electron zitterbewegung in a~linear crystal with alternating parity. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 2, pp. 343-352. http://geodesic.mathdoc.fr/item/TMF_1993_94_2_a11/