Electric/magnetic reciprocity in premetric electrodynamics with and without magnetic charge, and the complex electromagnetic field

Friedrich W. Hehl; Yuri N. Obukhov

doi:10.1016/j.physleta.2004.01.075

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Electric/magnetic reciprocity in premetric electrodynamics with and without magnetic charge, and the complex electromagnetic field

Friedrich W. Hehl·Yuri N. Obukhov

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Abstract

We extend an axiomatic approach to classical electrodynamics, which we developed recently, to the case of non-vanishing magnetic charge. Then two axioms, namely those of the existence of the Lorentz force (Axiom 2) and of magnetic flux conservation (Axiom 3) have to be generalized. Electric/magnetic reciprocity constitutes a guiding principle for this undertaking. The extension of the axioms can be implemented at a premetric stage, i.e., when metric and connection of spacetime don't play a role. Complex Riemann-Silberstein fields of the form $(E\pm i {\cal H},{\cal D}\pm i B)$ have a natural place in the theory, independent of the Hodge duality mapping defined by any particular metric.

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Friedrich W. Hehl, Yuri N. Obukhov. 2004-02-09. Electric/magnetic reciprocity in premetric electrodynamics with and without magnetic charge, and the complex electromagnetic field. https://doi.org/10.1016/j.physleta.2004.01.075

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