Europhys. Lett.
Volume 71, Number 1, July 2005
Page(s) 15 - 20
Section General
Published online 20 May 2005
Europhys. Lett., 71 (1), pp. 15-20 (2005)
DOI: 10.1209/epl/i2005-10059-5

Lorenz or Coulomb in Galilean electromagnetism?

G. Rousseaux

INLN-UMR 6618 CNRS - 1361 route des Lucioles 06560 Valbonne, France

received 23 February 2005; accepted in final form 3 May 2005
published online 20 May 2005

Galilean electromagnetism was discovered thirty years ago by Lévy-Leblond and Le Bellac. However, these authors only explored the consequences for the fields and not for the potentials. Following De Montigny et al. , we show that the Coulomb gauge condition is the magnetic limit of the Lorenz gauge condition whereas the Lorenz gauge condition applies in the electric limit of Lévy-Leblond and Le Bellac. Contrary to De Montigny et al. , who used Galilean tensor calculus, we use orders of magnitude based on physical motivations in our derivation.

03.50.De - Classical electromagnetism, Maxwell equations.
41.20.-q - Applied classical electromagnetism.
47.65.+a - Magnetohydrodynamics and electrohydrodynamics.

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