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The zitterbewegung being proportional to $\sin(\epsilon t)$, it is depictedas the motion of electron from the positive energy state to that of thenegative energy and vice versa in the neighbourhood of Dirac point. Since suchtransition involves crossing the Dirac point, the same may be the possiblerealisation and measure of the zitterbewegung. In this respect, we draw asimilirity between the zitterbewegung and the Adler-Bell-Jackiw anomaly in(1+1) QED. In a time dependent perturbation theory, the embodiment ofzitterbewegung is envisaged in the context of graphene.

Similarity of zitterbewegung of electron to the Adler-Bell-Jackiw anomaly in QED: its observable manifestation in graphene