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Electromagnetic vacuum fluctuations and electron coherence. II. Effects of wave-packet size

1997/04/17 by L. H. Ford · 1 citation
Physics and Astronomy · #Coherence (philosophical gambling strategy) #Coherence length #Computational physics #Condensed matter physics #Electromagnetic radiation #Electron #Mechanical and Optical Resonators #Optics #Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Superconductivity #Wave packet #hep-th #quant-ph

paper · pdf · doi:10.1103/physreva.56.1812

published as Phys.Rev. A56 (1997) 1812-1818 · 16 pages, Latex, 3 figures, uses epsf

arxiv created 1997/04/17 · openalex publication_date 1997/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

If one analyzes the effects of electromagnetic vacuum fluctuations upon an electron interference pattern in an approximation in which the electrons follow classical trajectories, an ultraviolet divergence results. It is shown that this divergence is an artifact of the classical trajectory approximation, and is absent when the finite sizes of electron wave packets are accounted for. It is shown that the vacuum fluctuation effect has a logarithmic dependence upon the wave-packet size. However, at least in one model geometry, this dependence cancels when one includes both vacuum fluctuation and photon emission effects.

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