Classical Electrodynamics

Electrodynamics, Classical

 

the classical (nonquantum) theory of the behavior of electromagnetic fields, which effects the interaction between electric charges. The fundamental laws of classical electrodynamics are formulated in Maxwell’s equations. The equations make it possible to determine the values of the basic characteristics of an electromagnetic field—the electric field strength E and magnetic flux density B—in a vacuum and in macroscopic bodies as a function of the distribution of electric charges and currents in space.

In classical electrodynamics the microscopic electromagnetic field generated by individual charged particles is defined by the Lorentz-Maxwell equations, which constitute the foundation of the classical statistical theory of electromagnetic processes in macroscopic bodies. The averaging of the Lorentz-Maxwell equations leads to Maxwell’s equations.

The laws of classical electrodynamics are inapplicable at high frequencies (at short electromagnetic wavelengths), that is, for processes that occur in small space-time intervals. In such cases the laws of quantum electrodynamics are valid.

G. IA. MIAKISHEV

References in periodicals archive ?
Summarizing the most important aspects of classical electrodynamics, Jentschura emphasizes Green functions and concepts that well be useful for further studies in quantum electrodynamics and field theory.
According to the laws of classical electrodynamics moving electrons in such a model were to continuously radiate electromagnetic energy and eventually <<fall>> into the nucleus [4, 6].
This scientific success has been possible due to two factors: the high precision of modern nanofabrication and characterization techniques, and the extraordinary predictive value of classical electrodynamics.
We show that the extended fields satisfy the integral laws of classical electrodynamics inside B, i.
Electronic engineers and physicists review the current state-of-the-art in formulating and implementing computational models of optical interactions with nanoscale material structures, using the finite-difference time-domain (FDTD) technique to solve Maxwell's equations of classical electrodynamics.
Strangely enough this fundamental gap seems to have troubled nearly no one up to present days even though just the extrapolation of classical EM fields to very small distances leads to well-known infinities within the framework of classical electrodynamics.
In this intermediate situation the classical field concepts should be considered in order to establish the equations that can be applied within the Classical Electrodynamics.
Classical electrodynamics in terms of direct interparticle action, Rev.
We will briefly consider three subsequent developments that have a bearing on the interpretation of classical electrodynamics.
1999, Classical Electrodynamics, 3rd Edition, John Wiley and Sons.
Jackson, Classical Electrodynamics, 2nd edition, John Wiley and Sons (1975) p.