Chiral oscillations in terms of the zitterbewegung effect

TL;DR

This paper explores the connection between chiral oscillations and the zitterbewegung effect in Dirac particles, providing an immediate description of chiral oscillations through trembling motion and quantum oscillating variables.

Contribution

It offers a novel interpretation of chiral oscillations as rapid position oscillations linked to the zitterbewegung effect using complete Dirac solutions.

Findings

Chiral oscillations can be expressed via the Dirac velocity operator.

Chiral oscillations are interpreted as rapid position oscillations.

The approach unifies chiral oscillations with zitterbewegung phenomena.

Abstract

We seek the {\em immediate} description of chiral oscillations in terms of the trembling motion described by the velocity (Dirac) operator {\boldmath$\alpha$}. By taking into account the complete set of Dirac equation solutions which results in a free propagating Dirac wave packet composed by positive and negative frequency components, we report about the well-established {\em zitterbewegung} results and indicate how chiral oscillations can be expressed in terms of the well know quantum oscillating variables. We conclude with the interpretation of chiral oscillations as position very rapid oscillation projections onto the longitudinally decomposed direction of the motion.