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Lorenz or Coulomb in Galilean Electromagnetism ?

Germain Rousseaux
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Abstract

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.

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Germain Rousseaux. 2005-02-24. Lorenz or Coulomb in Galilean Electromagnetism ?. https://doi.org/10.1209/epl%2Fi2005-10059-5

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