dorsal/arxiv
View SchemaElectric/magnetic reciprocity in premetric electrodynamics with and without magnetic charge, and the complex electromagnetic field
| Authors | Friedrich W. Hehl, Yuri N. Obukhov |
|---|---|
| Categories | |
| ArXiv ID | physics/0401083 |
| URL | https://arxiv.org/abs/physics/0401083 |
| DOI | 10.1016/j.physleta.2004.01.075 |
| Journal | Phys.Lett. A323 (2004) 169-175 |
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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"abstract": "We extend an axiomatic approach to classical electrodynamics, which we\ndeveloped recently, to the case of non-vanishing magnetic charge. Then two\naxioms, namely those of the existence of the Lorentz force (Axiom 2) and of\nmagnetic flux conservation (Axiom 3) have to be generalized. Electric/magnetic\nreciprocity constitutes a guiding principle for this undertaking. The extension\nof the axioms can be implemented at a premetric stage, i.e., when metric and\nconnection of spacetime don\u0027t play a role. Complex Riemann-Silberstein fields\nof the form $(E\\pm i {\\cal H},{\\cal D}\\pm i B)$ have a natural place in the\ntheory, independent of the Hodge duality mapping defined by any particular\nmetric.",
"arxiv_id": "physics/0401083",
"authors": [
"Friedrich W. Hehl",
"Yuri N. Obukhov"
],
"categories": [
"physics.class-ph",
"gr-qc",
"hep-th"
],
"doi": "10.1016/j.physleta.2004.01.075",
"journal_ref": "Phys.Lett. A323 (2004) 169-175",
"title": "Electric/magnetic reciprocity in premetric electrodynamics with and without magnetic charge, and the complex electromagnetic field",
"url": "https://arxiv.org/abs/physics/0401083"
},
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