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Interference in the radiation of two pointlike charges

J. Math. Phys. 50, 112901 (2009); doi:10.1063/1.3250149

Published 2 November 2009

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Yurij Yaremko
Institute for Condensed Matter Physics, 1 Svientsitskii St., 79011 Lviv, Ukraine
Energy-momentum and angular momentum carried by electromagnetic field of two pointlike charged particles arbitrarily moving in flat space-time are presented. Apart from usual contributions to the Noether quantities produced separately by particles 1 and 2, the conservation laws contain also joint contribution due to the fields of both particles. The mixed part of Maxwell energy-momentum density is decomposed into bound and radiative components which are separately conserved off the world lines of particles. The former describes the deformation of electromagnetic clouds of “bare” charges due to mutual interaction while the latter defines the radiation which escapes to infinity. The bound terms contribute to particles' individual 4-momenta while the radiative ones exert the radiation reaction. Analysis of energy-momentum and angular momentum balance equations results the Lorentz–Dirac equation as an equation of motion for a pointed charge under the influence of its own electromagnetic field as well as field produced by another charge. ©2009 American Institute of Physics
History: Received 15 May 2009; accepted 25 September 2009; published 2 November 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/112901/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.50.De
    Classical electromagnetism, Maxwell equations
  • 03.65.Pm
    Relativistic wave equations in quantum mechanics
  • 02.40.-k
    Geometry, differential geometry, and topology
  • 41.20.-q
    Applied classical electromagnetism
  • YEAR: 2009

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
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