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

TL;DR

This paper provides a rigorous relativistic quantum-mechanical analysis of charged vortex particles in a uniform electric field, revealing their ability to be accelerated while preserving vortex properties, with implications for high-energy applications.

Contribution

It introduces a detailed relativistic quantum framework for accelerating charged vortex beams and demonstrates their resilience in maintaining vortex characteristics during acceleration.

Findings

Suppression of transverse spreading during acceleration

Vortex properties are preserved in high-energy regimes

Provides a foundation for vortex beam applications in high-energy physics

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.