Vortex states of photons, electrons, and other particles are non-plane-wave solutions of the
corresponding wave equation with helicoidal wave fronts. These states possess an intrinsic …

Both classical and quantum waves can form vortices: entities with helical phase fronts and
circulating current densities. These features determine the intrinsic orbital angular …

The recent prediction and subsequent creation of electron vortex beams in a number of
laboratories occurred after almost 20 years had elapsed since the recognition of the physical …

Solving Maxwell's equations in cylindrical coordinates yields states in quantum theory with
definite values of energy ℏω, longitudinal momentum ℏk z, and total angular momentum …

We explore the process of orbital angular momentum (OAM) transfer from a twisted light
beam to an electron in atomic ionization within the first Born approximation. The …

We present a detailed analysis of the capture and acceleration of a nonrelativistic charged
vortex particle (electron, positron, proton, etc.) with an orbital angular momentum in the field …

Some nuclear isomers are known to store a large amount of energy over long periods of
time, with a very high energy-to-mass ratio. Here, we describe a protocol to achieve the …

The hard X-ray twisted photons and relativistic massive particles with orbital angular
momentum–vortex electrons, muons, protons, etc.–have many potential applications in high …

The general formula for the probability of radiation of a twisted photon by a classical current
is derived. The general theory of generation of twisted photons by undulators is developed. It …

The possibilities to accelerate vortex electrons with orbital angular momentum (OAM) to
relativistic energies and to produce vortex ions, protons, and other charged particles …