Singularities and internal rotational dynamics of electron beams
arXiv:1608.00688 · doi:10.1103/PhysRevA.94.063815
Abstract
We study the internal rotational dynamics of electronic beams in relation to the phase singularities of their wave functions. Given their complex singularity structure, Hermite-Gaussian beams and other superpositions of Laguerre-Gaussian modes are studied here. We show that by inspecting the lowest non-vanishing terms of the wave function near the singularity it is possible to infer the structure of the Bohmian streamlines. Conversely, starting from a map of the electron's Bohmian velocities, we demonstrate that it is possible to derive the form of the electron's wave function near the singularity. We outline a procedure that could yield an experimental method to determine the main parameters of the electron's wave function close to a singularity.
16 pages, 17 figures, 1 table
References in corpus (6)
- Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices
- Electron vortex beams in a magnetic field: A new twist on Landau levels and Aharonov-Bohm states
- Imaging the dynamics of free-electron Landau states
- Holographic generation of highly twisted electron beams
- Circular dichroism of cholesteric polymers and the orbital angular momentum of light
- Peculiar Rotation of Electron Vortex Beams