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 …

This Letter presents for the first time a scheme to generate intense high-order optical vortices
that carry orbital angular momentum in the extreme ultraviolet region based on relativistic …

Inverse Thomson scattering is a well-known radiation process that produces high-energy
photons both in nature and in the laboratory. Nonlinear inverse Thomson scattering …

We show that the well-known Čerenkov effect contains new phenomena arising from the
quantum nature of charged particles. The Čerenkov transition amplitudes allow coupling …

The Mott scattering of high-energetic twisted electrons by atoms is investigated within the
framework of the first Born approximation and Dirac's relativistic equation. Special emphasis …

We investigate the angular distribution of electrons that are emitted in the ionization of
hydrogen-like ions by twisted photons. Analysis is performed based on the first-order …

Theoretical analysis of the excitation of low-Z hydrogenlike atoms by incident twisted light is
presented. Emphasis is placed on the cross sections that describe transitions between …