Transmission of vortex electrons through a solenoid

Fuente: arXiv
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Autores principales: Sizykh, G. K., Chaikovskaia, A. D., Grosman, D. V., Pavlov, I. I., Karlovets, D. V.
Formato: Preprint
Publicado: 2023
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author Sizykh, G. K.
Chaikovskaia, A. D.
Grosman, D. V.
Pavlov, I. I.
Karlovets, D. V.
author_facet Sizykh, G. K.
Chaikovskaia, A. D.
Grosman, D. V.
Pavlov, I. I.
Karlovets, D. V.
contents We argue that it is generally nonstationary Laguerre-Gaussian states (NSLG) rather than the Landau ones that appropriately describe electrons with orbital angular momentum both in their dynamics at a hard-edge boundary between a solenoid and vacuum and inside the magnetic field. It is shown that the r.m.s. radius of the NSLG state oscillates in time and its period-averaged value can significantly exceed the r.m.s. radius of the Landau state, even far from the boundary. We propose to study the unconventional features of quantum dynamics inside a solenoid in several experimental scenarios with vortex electrons described by the NSLG states. Relevance for processes in scanning and transmission electron microscopes, as well as for particle accelerators with relativistic beams is emphasized.
format Preprint
id arxiv_https___arxiv_org_abs_2306_13161
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Transmission of vortex electrons through a solenoid
Sizykh, G. K.
Chaikovskaia, A. D.
Grosman, D. V.
Pavlov, I. I.
Karlovets, D. V.
Quantum Physics
High Energy Physics - Phenomenology
Accelerator Physics
Optics
We argue that it is generally nonstationary Laguerre-Gaussian states (NSLG) rather than the Landau ones that appropriately describe electrons with orbital angular momentum both in their dynamics at a hard-edge boundary between a solenoid and vacuum and inside the magnetic field. It is shown that the r.m.s. radius of the NSLG state oscillates in time and its period-averaged value can significantly exceed the r.m.s. radius of the Landau state, even far from the boundary. We propose to study the unconventional features of quantum dynamics inside a solenoid in several experimental scenarios with vortex electrons described by the NSLG states. Relevance for processes in scanning and transmission electron microscopes, as well as for particle accelerators with relativistic beams is emphasized.
title Transmission of vortex electrons through a solenoid
topic Quantum Physics
High Energy Physics - Phenomenology
Accelerator Physics
Optics
url https://arxiv.org/abs/2306.13161