11 citations · 25 across the 5 of their papers we have counts for
6 papers · 1 filter
Relativistic dynamical inversion in manifestly covariant form
A. G. Campos, Luca Fabbri
The Relativistic Dynamical Inversion technique, a novel tool for finding analytical solutions to the Dirac equation, is written in explicitly covariant form. It is then shown how t…
Angular-Radial Integrability of Coulomb-like Potentials in Dirac Equations
Luca Fabbri, Andre G. Campos
We consider the Dirac equation, written in polar formalism, in presence of general Coulomb-like potentials, that is potentials arising from the time component of the vector potenti…
Construction of Dirac spinors for electron vortex beams in background electromagnetic fields
Andre G. Campos, Karen Z. Hatsagortsyan, Christoph H. Keitel
Exact solutions of the Dirac equation, a system of four partial differential equations, are rare. The vast majority of them are for highly symmetric stationary systems. Moreover, o…
Non-dispersive analytical solutions to the Dirac equation
Andre G. Campos, Renan Cabrera
This paper presents new analytic solutions to the Dirac equation employing a recently introduced method that is based on the formulation of spinorial fields and their driving elect…
Operational Dynamical Modeling of spin 1/2 relativistic particles: the Dirac equation and its classical limit
Renan Cabrera, Andre Campos, Herschel A. Rabitz +1
The formalism of Operational Dynamical Modeling [Phys. Rev. Lett. {\bf 109}, 190403 (2012)] is employed to analyze dynamics of spin half relativistic particles. We arrive at the Di…
Analytic Solutions to Coherent Control of the Dirac Equation
Andre G. Campos, Renan Cabrera, Herschel A. Rabitz +1
A simple framework for Dirac spinors is developed that parametrizes admissible quantum dynamics and also analytically constructs electromagnetic fields, obeying Maxwell's equations…