Lorenz or Coulomb in Galilean Electromagnetism ?

Germain Rousseaux (1)

1 INLN - Institut Non Linéaire de Nice Sophia-Antipolis

Galilean Electromagnetism was discovered thirty years ago by Levy-Leblond & Le Bellac. However, these authors only explored the consequences for the fields and not for the potentials. Following De Montigny & 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 & Le Bellac. Contrary to De Montigny & al. who used Galilean tensor calculus, we use orders of magnitude based on physical motivations in our derivation.

Mots clés: Maxwell equations; Galilean Limits; Gauge conditions; Physical Interpretation; Potentials

Domaines: Physique Classique [physics.class-ph]; Physique Générale [physics.gen-ph]; Enseignement de la physique [physics.ed-ph]

Germain Rousseaux. Lorenz or Coulomb in Galilean Electromagnetism ?. EPL - Europhysics Letters, 2005, 71 (1), p. 15-20. ⟨10.1209/epl/i2005-10059-5⟩. ⟨hal-00004328⟩