Revivals of Zitterbewegung of a bound localized Dirac particle

TL;DR

This paper demonstrates that a bound localized Dirac particle can exhibit revivals of Zitterbewegung oscillations, surpassing known quasiclassical regenerations, with potential for initial amplitude regeneration in a Dirac oscillator.

Contribution

It introduces the concept of Zitterbewegung revivals in bound Dirac particles, extending understanding beyond traditional quasiclassical regenerations.

Findings

Revival of ZB oscillation amplitude in bound Dirac particles.

Possibility of setting up wave packets with initial ZB amplitude regeneration.

Demonstration within a Dirac oscillator model.

Abstract

In this paper a bound localized Dirac particle is shown to exhibit a revival of the zitterbewegung (ZB) oscillation amplitude. These revivals go beyond the known quasiclassical regenerations in which the ZB oscillation amplitude is decreasing from period to period. This phenomenon is studied in a Dirac oscillator and it is shown that it is possible to set up wave packets in which there is a regeneration of the initial ZB amplitude.