Abstract
When special relativity is presented, one generally introduces Poincaré group as the group of invariance for electromagnetism. This definition is still rather unprecise; in particular the characterization of Poincaré’s transformations is usually related to the wave equation in ℝ4 and not directly to Maxwell’s equations. We shall give here a possible definition of the invariance group of Maxwell’s equations for free fields, in Minkowski space as well as in its conformai compactification Segal’s model. Furthermore we give an explicit determination of all C∞ solutions of Maxwell’s equations in Segal’s model.
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References
M. Cahen, S. Gutt: “Invariance des équations de Maxwell”, Bull. Soc. Math. de Belgique, Volume en hommage à J. Geheniau (to appear).
M. Cahen, S. Gutt: “Maxwell’s equations in Segal’s model: solutions and their invariance”. Lett. in Math. Phys. 4(1980).
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© 1983 D. Reidel Publishing Company
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Gutt, S. (1983). Invariance of Maxwell’s Equations. In: Cahen, M., De Wilde, M., Lemaire, L., Vanhecke, L. (eds) Differential Geometry and Mathematical Physics. Mathematical Physics Studies, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7022-9_3
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DOI: https://doi.org/10.1007/978-94-009-7022-9_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-1508-1
Online ISBN: 978-94-009-7022-9
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