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Title: Polarization operator of a photon in a magnetic field

Abstract

The polarization operator of a photon in a static uniform magnetic field has been studied at photon energies both above and below the threshold of electron–positron pair production by a photon. In the first order of the fine-structure constant α, expressions for the refractive index of a photon with a certain polarization in both low and high fields as compared to the critical field H{sub 0} = 4.41 × 10{sup 13} G have been obtained. Both the purely quantum range of photon energies, where the particles of a pair are produced at the lowest Landau levels, and the region of applicability of the semiclassical approximation in the case of the population of high energy levels have been considered. A general spectral integral formula has been obtained with divergent threshold terms separated in an explicit form.

Authors:
 [1]
  1. Russian Academy of Sciences, Budker Institute of Nuclear Physics, Siberian Branch (Russian Federation)
Publication Date:
OSTI Identifier:
22617216
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 123; Journal Issue: 2; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; CRITICAL FIELD; ELECTRONS; ENERGY LEVELS; FINE STRUCTURE; PAIR PRODUCTION; PHOTONS; POLARIZATION; POSITRONS; REFRACTIVE INDEX; SEMICLASSICAL APPROXIMATION

Citation Formats

Katkov, V. M., E-mail: V.M.Katkov@inp.nsk.su. Polarization operator of a photon in a magnetic field. United States: N. p., 2016. Web. doi:10.1134/S1063776116070086.
Katkov, V. M., E-mail: V.M.Katkov@inp.nsk.su. Polarization operator of a photon in a magnetic field. United States. doi:10.1134/S1063776116070086.
Katkov, V. M., E-mail: V.M.Katkov@inp.nsk.su. Mon . "Polarization operator of a photon in a magnetic field". United States. doi:10.1134/S1063776116070086.
@article{osti_22617216,
title = {Polarization operator of a photon in a magnetic field},
author = {Katkov, V. M., E-mail: V.M.Katkov@inp.nsk.su},
abstractNote = {The polarization operator of a photon in a static uniform magnetic field has been studied at photon energies both above and below the threshold of electron–positron pair production by a photon. In the first order of the fine-structure constant α, expressions for the refractive index of a photon with a certain polarization in both low and high fields as compared to the critical field H{sub 0} = 4.41 × 10{sup 13} G have been obtained. Both the purely quantum range of photon energies, where the particles of a pair are produced at the lowest Landau levels, and the region of applicability of the semiclassical approximation in the case of the population of high energy levels have been considered. A general spectral integral formula has been obtained with divergent threshold terms separated in an explicit form.},
doi = {10.1134/S1063776116070086},
journal = {Journal of Experimental and Theoretical Physics},
number = 2,
volume = 123,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2016},
month = {Mon Aug 15 00:00:00 EDT 2016}
}