Annotation
Analogs for Maxwell’s equations with fractional derivatives are obtained using the concepts of an effective current and the velocity of a charged particle in a medium. The calibration invariance is considered and a diffusion-wave equation is found and analyzed for scalar and vector potentials. It is shown that the stochastic nature of charged particle motion in a medium influences the dynamics of an electromagnetic field.
Received: 2008 October 7
Approved: 2009 September 23
PACS:
41.20.Jb Electromagnetic wave propagation; radiowave propagation
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
A.N. Bogolyubov$^1$, A.A. Potapov$^2$, S.Sh. Rehviashvili$^3$
$^1$Faculty of Physics Department of Mathematics, Moscow State University, Moscow, 119899, Russia
$^2$Institute of Radio Engineering and Electronics, Russian Academy of Sciences, ul. Mokhovaya 11, Moscow, 103907, Russia
$^3$Kabardino-Balkaria State University, Nalchik, Russia
$^1$Faculty of Physics Department of Mathematics, Moscow State University, Moscow, 119899, Russia
$^2$Institute of Radio Engineering and Electronics, Russian Academy of Sciences, ul. Mokhovaya 11, Moscow, 103907, Russia
$^3$Kabardino-Balkaria State University, Nalchik, Russia
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