Limites non-relativistes des équations de Maxwell

Lien vers la page Web de l'orateur Résumé (exposé en français) : In 1973, Le Bellac and Lévy-Leblond (Nuovo Cimento B, 14 217-234) discovered that Maxwell's equations possess two non-relativistic Galilei-covariant limits, corresponding to E >> cB (electric limit) or E << cB (magnetic limit). Here, we provide a systematic, yet simple, derivation of these two limits based on a dimensionless form of Maxwell's equations and an expansion of the electric and magnetic fields in a power series of some small parameters. Using this procedure, all previously known results are recovered in a natural and unambiguous way. Some further extensions are also discussed. Preprint available here: http://arxiv.org/abs/1303.5608