*The Fundamental Equations of Electrodynamics*

Scientific Paper | |
---|---|

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*<img border="0" alt="rho" align="middle" src="http://physicsessays.aip.org/stockgif3/rgr.gif" />

^{ }a set of differential equations governing short-range fields that exist^{ }at the same point as their source densities*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