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.