On some applications of Galilean electrodynamics of moving bodies

摘要

We discuss the seminal article by Le Bellac and Levy-Leblond in which they identified two Galilean limits (called "electric" and "magnetic" limits) of electromagnetism and their implications. Recent work has shed new light on the choice of gauge conditions in classical electromagnetism. We show that the recourse to potentials is compelling in order to demonstrate the existence of both (electric and magnetic) limits. We revisit some nonrelativistic systems and related experiments, in the light of these limits, in quantum mechanics, superconductivity, and the electrodynamics of continuous media. Much of the current technology where waves are not taken into account can be described in a coherent fashion by the two limits of Galilean electromagnetism instead of an inconsistent mixture of these limits. (C) 2007 American Association of Physics Teachers.