16 citations · 42 across the 17 of their papers we have counts for
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Fractional Angular Momenta in Electron Beams and Hydrogen-Like Atoms
Robert Ducharme, Irismar G. da Paz
In an earlier letter [Ducharme \textit{et al.} Phys. Rev. Lett. \textbf{126}, 134803 (2021)], a solution to the Dirac equation for a relativistic Gaussian electron beam showed that…
Fractional Angular Momenta, Gouy and Berry phases in Relativistic Bateman-Hillion-Gaussian Beams of Electrons
Robert J. Ducharme, Irismar Gonçalves da Paz, Armen G. Hayrapetyan
A new Bateman-Hillion solution to the Dirac equation for a relativistic Gaussian electron beam taking explicit account of the -position of the beam waist is presented. This solu…
Lorentz Covariant Quantum 4-Potential and Orbital Angular Momentum for the Transverse Confinement of Matter Waves
Robert J. Ducharme, Irismar Gonçalves da Paz
In two recent papers exact Hermite-Gaussian solutions to relativistic wave equations have been obtained for both electromagnetic and particle beams that include Gouy phase. The sol…
Gouy phase in non-classical paths in triple-slit interference experiment
Irismar da Paz, Carlos Vieira, Robert Ducharme +3
We propose a simple model to study the Gouy phase effect in the triple-slit experiment in which we consider a non-classical path. The Gouy phase differs for classical or non-classi…
Gouy Phase for Relativistic Quantum Particles
Robert J. Ducharme, Irismar Gonçalves da Paz
Recently Gouy rotation was observed with focused non-relativistic electron vortex beams. If the electrons in vortex beams are very fast we have to take into account relativistic ef…
Constrained Bateman-Hillion Solutions for Hermite-Gaussian Beams
Robert J. Ducharme
Exact Bateman-Hillion solutions of the wave equation are applied to Hermite-Gaussian beams using a space-time constraint condition that requires the field density to fall as the in…