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Joint Institute for Nuclear Research
28.01.2026

Aleksandr Silenko (BLTP JINR) Relativistic quantum-mechanical description of an acceleration of twisted Dirac particles in a uniform electric field

Twisted beams of charged particles have important applications nowadays. The relativistic quantum-mechanical description of a charged Laguerre-Gauss beam accelerated in a uniform electric field has been fulfilled.

It is shown that charged particle beams keep their coherence and OAMs in a uniform electric field, despite the emission of photons. 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 in linear accelerators without destroying their intrinsic vortex properties, paving the way for high-energy vortex beam applications.