Manipulating twisted electron beams
Alexander J. Silenko, Pengming Zhang, Liping Zou

TL;DR
This paper provides a theoretical framework for understanding and manipulating vortex electrons with orbital angular momentum in electric and magnetic fields, including equations of motion and methods for beam control.
Contribution
It introduces a Lorentz transformation-based theoretical model for twisted electrons and develops methods for their extraction and manipulation in external fields.
Findings
Derived dynamical equations of motion for twisted electrons.
Developed methods for extracting electron vortex beams.
Proposed techniques for manipulating orbital polarization of vortex electrons.
Abstract
A theoretical description of vortex electrons interacting with electric and magnetic fields is presented, based on Lorentz transformations. The general dynamical equations of motion of a twisted electron with intrinsic orbital angular momentum in an external field is derived. Methods for the extraction of an electron vortex beam with a given orbital polarization and for the manipulation of such a beam are developed.
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