Lorenz or Coulomb in Galilean electromagnetism?

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...

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Bibliographic Details
Published inEurophysics letters Vol. 71; no. 1; pp. 15 - 20
Main Author Rousseaux, G
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2005
EDP Sciences
European Physical Society / EDP Sciences / Società Italiana di Fisica / IOP Publishing
Subjects
03.50.De
41.20.-q
47.65.+a
Classical Physics
General Physics
Physics
Physics Education
Physical Interpretation
Gauge conditions
Potentials
Galilean Limits
Maxwell equations
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Summary: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.
Bibliography:ark:/67375/80W-P2DBRFFM-K
publisher-ID:epl8793
istex:B7102F516A017AA272872B00DECB42A128C3BF9D
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2005-10059-5