The pedagogical value of the four-dimensional picture III: Solutions to Maxwell's equations

Abstract

We outline a regular way for solving Maxwell's equations. We take, as the starting point, the notion of vector potentials. The rationale for introducing this notion in electrodynamics is that the set of Maxwell's equations is seemingly overdetermined. We demonstrate the existence of two fundamental solutions to Maxwell's equations whose linear combinations comprise the whole variety of classical electromagnetic field configurations.

11 pages

References in corpus (2)

• The pedagogical value of the four-dimensional picture II: Another way of looking at the electromagnetic field
• The pedagogical value of the four-dimensional picture I: Relativistic mechanics of point particles

Cited by in corpus (1)

• Time symmetric electrodynamics, electric charge conservation, and the Lorenz gauge