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arXiv · 2511.21142

Vortex-Enhanced Zitterbewegung in Relativistic Electron Wave Packets

Zhongze Guo·Bei Xu·Qiang Gu
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Abstract

Zitterbewegung (ZBW), the trembling motion predicted by the Dirac equation, has long remained unobservable in free electrons due to its sub-Compton scale. We elaborately construct a relativistic vortex electron wave packet as a coherent superposition of both positive- and negative-energy Dirac states and derive their space-time dynamics. Our analysis demonstrates that introducing orbital angular momentum provides a mechanism for amplifying the ZBW amplitude far beyond that of conventional Gaussian packets, while maintaining coherence. The resulting relativistic vortex states unify Gaussian and Bessel-Gaussian models within a single framework and opens new possibilities for observing relativistic quantum dynamics in structured electron wave packets.

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Zhongze Guo, Bei Xu, Qiang Gu. 2025-11-26. Vortex-Enhanced Zitterbewegung in Relativistic Electron Wave Packets. https://arxiv.org/abs/2511.21142

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