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Self consistent maxwells equations

  1. Apr 13, 2013 #1
    Are there any articles on solutions for simple self consistent systems in EM, as in when the field equations are coupled with the motion of the particles, I would like to explicitly see the energy conservation in those systems.
     
  2. jcsd
  3. Apr 14, 2013 #2

    vanhees71

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    There are! In fact, it's a very difficult problem, only solved very recently. The classical text on this with the newest results is

    Fritz Rohrlich, Classical Charged Particles, 3rd Edition, World Scientific (2007)

    A much shorter article, containing a thorough discussion of all the problems and how it's solved within the applicability range of classical electrodynamics is

    D. J. Griffiths, T. C. Proctor, Darrell F. Schroeder, Abraham-Lorentz vs. Landau-Lifgarbagez, Am J. Phys 78, 391 (2010)
    http://dx.doi.org/10.1119/1.3269900

    A classical article, very nicely written, as anything by PAM Dirac is

    P. A. M. Dirac, Proc. R. Soc. London, Ser. A 167, 148 (1938)
    http://dx.doi.org/10.1098/rspa.1938.0124
     
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