Radiation of breathing vortex electron packets in magnetic field
arXiv:2509.21195 · doi:10.1103/mkff-zlsf
Abstract
When a vortex electron with an orbital angular momentum (OAM) enters a magnetic field, its quantum state is described with a nonstationary Laguerre-Gaussian (NSLG) state rather than with a stationary Landau state. A key feature of these NSLG states is oscillations of the electron wave packet's root-mean-square (r.m.s.) radius, similar to betatron oscillations. Classically, such an oscillating charge distribution is expected to emit photons. This raises a critical question: does this radiation carry away OAM, leading to a loss of the electron's vorticity? To investigate this, we solve Maxwell's equations using the charge and current densities derived from an electron in the NSLG state. We calculate the total radiated power and the angular momentum of the emitted field, quantifying the rate at which a vortex electron loses its energy and OAM while propagating in a longitudinal magnetic field. We find both the radiated power and the angular momentum losses to be negligible indicating that linear accelerators (linacs) appear to be a prominent tool for maintaining vorticity of relativistic vortex electrons and other charged particles, at least in the quasi-classical approximation.
References in corpus (13)
- 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
- Peculiar Rotation of Electron Vortex Beams
- Non-linear quantum effects in electromagnetic radiation of a vortex electron
- General quantum-mechanical solution for twisted electrons in a uniform magnetic field
- Transmission of vortex electrons through a solenoid
- Electron vortex beams in non-uniform magnetic fields
- Nonstationary Laguerre-Gaussian states in magnetic field
- Electron vortex beams for chirality probing at the nanoscale
- Comment on: "Nonlinear quantum effects in electromagnetic radiation of a vortex electron"
- Reply to Comment on "Nonlinear quantum effects in electromagnetic radiation of a vortex electron" by A. Karnieli, R. Remez, I. Kaminer, et al
- Photon emission by vortex particles accelerated in a linac