Lorenz or Coulomb in Galilean Electromagnetism ?

Details Lorenz or Coulomb in Galilean Electromagnetism ? Lorenz or Coulomb in Galilean Electromagnetism ?

2005-02-24

arxiv.org/abs/physics/0502129v1

Europhysics Letters 71 (2005) p. 15-20

Physics

Classical Physics

PDF version

Scientific paper

10.1209/epl/i2005-10059-5

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 L\'{e}vy-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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