On Wigner function of a vortex electron
Dmitry Karlovets
TL;DR
This paper derives a Lorentz-invariant Wigner function expression for a paraxial vortex electron modeled as a Laguerre-Gaussian wave packet, aiding in quantum electron analysis.
Contribution
It provides a novel, simple Lorentz-invariant formula for the Wigner function of vortex electrons, enhancing theoretical tools for quantum electron studies.
Findings
Derived a Lorentz-invariant Wigner function expression.
Applied to paraxial vortex electrons modeled as Laguerre-Gaussian packets.
Facilitates analysis of quantum properties of vortex electrons.
Abstract
We derive a relatively simple and Lorentz-invariant expression for a Wigner function of a paraxial vortex electron described as a Laguerre-Gaussian wave packet.
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