Ulm 2004 – scientific programme
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MP: Theoretische und Mathematische Grundlagen der Physik
MP 5: Klassische Feldtheorie
MP 5.2: Fachvortrag
Wednesday, March 17, 2004, 15:20–15:45, H 22
The 3-dimensional Riemann-Silberstein vector E+iH in complex premetric electrodynamics — •Friedrich W. Hehl — Univ.zu Köln and Univ.of Missouri-Columbia
In premetric classical electrodynamics, we define the 4-dimensional complex electromagnetic field U=G+i 0 F, with G=(H,D) as excitation, F=(E,B) as field strength, and 0 as vacuum admittance. The Maxwell equations read dU=J, where J is the real electric 4-current. We determine properties of U, such as U∧ U and U∧ U* and discuss in particular how electric/magnetic reciprocity emerges. The covector H−iE is the timelike piece and the 2-form D+iB the spacelike piece of U. See G. Kaiser, Yu.N. Obukhov, F.W. Hehl (in preparation). F.W. Hehl and Yu.N. Obukhov: Foundations of Classical Electrodynamics — Charge, Flux, and Metric. Birkhäuser, Boston, MA (2003).