Volume 71, Number 1, July 2005
|Page(s)||15 - 20|
|Published online||20 May 2005|
Lorenz or Coulomb in Galilean electromagnetism?
INLN-UMR 6618 CNRS - 1361 route des Lucioles 06560 Valbonne, France
Accepted: 3 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.
PACS: 03.50.De – Classical electromagnetism, Maxwell equations / 41.20.-q – Applied classical electromagnetism / 47.65.+a – Magnetohydrodynamics and electrohydrodynamics
© EDP Sciences, 2005
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