Classical understanding of the electron vortex beams in a uniform magnetic field

Abstract

Recently interesting observations on electron vortex beams, which have angular momentum about the center of the vortex beams, have been made. We have shown that the basic features of the electron vortex beams in a uniform magnetic field are understandable by using the classical motions of electrons. We have constructed a classical vortex-like motion by the collective motion of individual electrons in their cyclotron motions with a constant canonical angular momentum in the symmetric gauge, which models electron vortex beams, in a uniform magnetic field. With this model the various properties of circulating currents and the relation between energy and kinetic angular momentum in the electron vortex beams are well explained. We have also shown that the mismatch between the centers of the electron vortex beam and the classical cyclotron orbits naturally induces the parallel axis theorem and also the time-varying kinetic angular momentum of the electron vortex beam for certain distributions of classical electrons.

13 pages in one column and 3 figures

References in corpus (6)

• Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices
• Spatio-temporal vortex beams and angular momentum
• Atomic scale electron vortices for nanoresearch
• Imaging the dynamics of free-electron Landau states
• Vacuum Faraday effect for electrons
• Peculiar Rotation of Electron Vortex Beams

Cited by in corpus (6)

• Theory and applications of free-electron vortex states
• Promises and challenges of high-energy vortex states collisions
• Relativistic quantum dynamics of twisted electron beams in arbitrary electric and magnetic fields
• Electric quadrupole moment and the tensor magnetic polarizability of twisted electrons and a potential for their measurements
• Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field
• Dirac's spectrum from Newton laws in graphene