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Relativistic quantum mechanics of charged vortex particles accelerated in a uniform electric field

Qi Meng1, Ziqiang Huang1, Xuan Liu1, Wei Ma1, Zhen Yang1, Liang Lu1, Alexander J. Silenko2,3, Pengming Zhang4, and Liping Zou1,*

  • *Contact author: zoulp5@mail.sysu.edu.cn
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Phys. Rev. Research 7, 043213 – Published 24 November, 2025

DOI: https://doi.org/10.1103/z6j7-grs2

Abstract

The relativistic quantum-mechanical description of a charged Laguerre-Gauss beam accelerated in a uniform electric field has been fulfilled. Stationary wave eigenfunctions are rigorously derived. The evolution of the beam parameters during acceleration is considered in detail. The practically important effect of extraordinary suppression of transverse spreading of the beam is discovered, carefully analyzed, and properly explained. Our results provide direct evidence that vortex particle beams can be accelerated without destroying their intrinsic vortex properties, paving the way for high-energy vortex beam applications.

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Phys. Rev. Research 7, 043213– Published 24 November, 2025
  • Received 20 June 2025
  • Accepted 16 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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