16 citations · 42 across the 17 of their papers we have counts for
17 papers
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…
A Unified Understanding of Spin and Orbital Angular Momentum in the Complex Plane
Robert J. Ducharme
The quantum mechanical operator for angular momentum is transformed from the real plane into the complex plane. In doing so, the Cauchy-Riemann (C-R) equations are interpreted as c…
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…