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 ?
The model allows for magnetic currents which should make this description of classical electrodynamics nonlocal.
Advanced Classical Electrodynamics: Green Functions, Regularizations, Multipole Decompositions
Classical Electrodynamics. 3rd ed., John Wiley and Sons Inc., 1999.
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].
D., Classical Electrodynamics, Page 80, John Wiley and Sons, Hoboken, New Jersey, 1994.
We show that the extended fields satisfy the integral laws of classical electrodynamics inside B, i.e., Gauss's surface integral law for the electric field, Gauss's surface integral law for the magnetic field, Ampere's law and Faraday's induction law in integral form [6].
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. Readers are assumed to be familiar with FDTD techniques as discussed in the 2005 third edition of Taflove-Hagness' Computational Electrodynamics: The Finite-Difference Time-Domain Method.
Therefore, the possibility of having nonnull divergence of the magnetic induction field (and consequently the existence of the magnetic monopoles) can be deduced starting from first principles and applying just the classical electrodynamics. So far, the hypothesis of magnetic monopoles was born and has been discussed only within the quantum-relativistic physics.
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.
[11] Wheeler J.A., Feynman R.P., 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.