The Fundamental Equations of Electrodynamics
Scientific Paper | |
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Title | The Fundamental Equations of Electrodynamics |
Author(s) | D E McLennan |
Keywords | classical electrodynamics, inhomogeneous Maxwell equations, integral vs differential Maxwell equations |
Published | 1988 |
Journal | Physics Essays |
Volume | 1 |
Number | 3 |
Pages | 171-175 |
Abstract
The inhomgeneous equations of electrodynamics known as the Maxwell-Lorentz equations have been incorrectly interpreted since they were first produced early in this century. In the present paper it is shown that the two equations containing the inhomogeneities <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" />, j lead to a set of differential equations governing short-range fields that exist at the same point as their source densities <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" /> and j, and that vanish wherever <img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" /> and j are zero. It is suggested that these are the missing differential equations governing the structure and stability of electromagnetic particles.