On the Zitterbewegung Transient Regime in a Coarse-Grained Space-Time

摘要

In the present contribution, by studying a fractional version of Dirac'sequation for the electron, we show that the phenomenon of Zitterbewegung in acoarse-grained medium exhibits a transient oscillatory behavior, rather than apurely oscillatory regime, as it occurs in the integer case, $\alpha=1$. Ourresult suggests that, in such systems, the Zitterbewegung-type term related toa trembling motion of a quasiparticle is tamed by its complex interactions withother particles and the medium. This can justify the difficulties in theobservation of this interesting phenomenon. The possibility that theZitterbewegung be accompanied by a damping factor supports the viewpoint ofparticle substructures in Quantum Mechanics.