dorsal/arxiv
View SchemaAxiomatics of classical electrodynamics and its relation to gauge field theory
| Authors | Frank Gronwald, Friedrich W. Hehl, Jürgen Nitsch |
|---|---|
| Categories | |
| ArXiv ID | physics/0506219 |
| URL | https://arxiv.org/abs/physics/0506219 |
Abstract
We give a concise axiomatic introduction into the fundamental structure of classical electrodynamics: It is based on electric charge conservation, the Lorentz force, magnetic flux conservation, and the existence of local and linear constitutive relations. The {\it inhomogeneous} Maxwell equations, expressed in terms of $D^i$ and $H_i$, turn out to be a consequence of electric charge conservation, whereas the {\it homogeneous} Maxwell equations, expressed in terms of $E_i$ and $B^i$, are derived from magnetic flux conservation and special relativity theory. The excitations $D^i$ and $H_i$, by means of constitutive relations, are linked to the field strengths $E_i$ and $B^i$. Eventually, we point out how this axiomatic approach is related to the framework of gauge field theory.
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"abstract": "We give a concise axiomatic introduction into the fundamental structure of\nclassical electrodynamics: It is based on electric charge conservation, the\nLorentz force, magnetic flux conservation, and the existence of local and\nlinear constitutive relations. The {\\it inhomogeneous} Maxwell equations,\nexpressed in terms of $D^i$ and $H_i$, turn out to be a consequence of electric\ncharge conservation, whereas the {\\it homogeneous} Maxwell equations, expressed\nin terms of $E_i$ and $B^i$, are derived from magnetic flux conservation and\nspecial relativity theory. The excitations $D^i$ and $H_i$, by means of\nconstitutive relations, are linked to the field strengths $E_i$ and $B^i$.\nEventually, we point out how this axiomatic approach is related to the\nframework of gauge field theory.",
"arxiv_id": "physics/0506219",
"authors": [
"Frank Gronwald",
"Friedrich W. Hehl",
"J\u00fcrgen Nitsch"
],
"categories": [
"physics.class-ph",
"cond-mat.mtrl-sci"
],
"title": "Axiomatics of classical electrodynamics and its relation to gauge field theory",
"url": "https://arxiv.org/abs/physics/0506219"
},
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