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Quantum Physics

arXiv:1602.05099 (quant-ph)
[Submitted on 16 Feb 2016]

Title:Quantum calculation of the Vavilov-Cherenkov radiation by twisted electrons

Authors:I. P. Ivanov, V. G. Serbo, V. A. Zaytsev
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Abstract:We present the detailed quantum electrodynamical description of Vavilov-Cherenkov radiation emitted by a relativistic twisted electron in the transparent medium. Simple expressions for the spectral and spectral-angular distributions as well as for the polarization properties of the emitted radiation are obtained. Unlike the plane-wave case, the twisted electron produces radiation within the annular angular region, with enhancement towards its boundaries. Additionally, the emitted photons can have linear polarization not only in the scattering plane but also in the orthogonal direction. We find that the Vavilov-Cherenkov radiation emitted by an electron in a superposition of two vortex states exhibits a strong azimuthal asymmetry. Thus, the Vavilov-Cherenkov radiation offers itself as a convenient diagnostic tool of such electrons and complements the traditional microscopic imaging.
Comments: 23 pages, 6 figures
Subjects: Quantum Physics (quant-ph); High Energy Physics - Phenomenology (hep-ph); Optics (physics.optics)
Cite as: arXiv:1602.05099 [quant-ph]
  (or arXiv:1602.05099v1 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.1602.05099
Journal reference: Phys. Rev. A 93, 053825 (2016)
Related DOI: https://doi.org/10.1103/PhysRevA.93.053825

Submission history

From: Igor Ivanov [view email]
[v1] Tue, 16 Feb 2016 17:03:24 UTC (2,920 KB)
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