Classical understanding of the electron vortex beams in a uniform magnetic field
| Autor: | Taeseung Choi, Yeong Deok Han |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Angular momentum Quantum Physics Magnetic moment Condensed matter physics General Physics and Astronomy FOS: Physical sciences 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Electron magnetic dipole moment Electron cyclotron resonance Quantum electrodynamics Vortex stretching Condensed Matter::Superconductivity 0103 physical sciences Angular momentum coupling Orbital motion Physics::Accelerator Physics Orbital angular momentum of light 010306 general physics 0210 nano-technology Quantum Physics (quant-ph) |
| DOI: | 10.48550/arxiv.1609.09641 |
| Popis: | 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. Comment: 13 pages in one column and 3 figures |
| Databáze: | OpenAIRE |
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