dorsal/arxiv
View SchemaClassical Electrodynamics: A Tutorial on its Foundations
| Authors | Friedrich W. Hehl, Yuri N. Obukhov, Guillermo F. Rubilar |
|---|---|
| Categories | |
| ArXiv ID | physics/9907046 |
| URL | https://arxiv.org/abs/physics/9907046 |
Abstract
We will display the fundamental structure of classical electrodynamics. Starting from the axioms of (1) electric charge conservation, (2) the existence of a Lorentz force density, and (3) magnetic flux conservation, we will derive Maxwell's equations. They are expressed in terms of the field strengths $(E,{\cal B})$, the excitations $({\cal D},H)$, and the sources $(\rho,j)$. This fundamental set of four microphysical equations has to be supplemented by somewhat less general constitutive assumptions in order to make it a fully determined system with a well-posed initial value problem. It is only at this stage that a distance concept (metric) is required for space-time. We will discuss one set of possible constitutive assumptions, namely ${\cal D}\sim E$ and $H\sim {\cal B}$. {\em file erik8a.tex, 1999-07-27}
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"abstract": "We will display the fundamental structure of classical electrodynamics.\nStarting from the axioms of (1) electric charge conservation, (2) the existence\nof a Lorentz force density, and (3) magnetic flux conservation, we will derive\nMaxwell\u0027s equations. They are expressed in terms of the field strengths\n$(E,{\\cal B})$, the excitations $({\\cal D},H)$, and the sources $(\\rho,j)$.\nThis fundamental set of four microphysical equations has to be supplemented by\nsomewhat less general constitutive assumptions in order to make it a fully\ndetermined system with a well-posed initial value problem. It is only at this\nstage that a distance concept (metric) is required for space-time. We will\ndiscuss one set of possible constitutive assumptions, namely ${\\cal D}\\sim E$\nand $H\\sim {\\cal B}$. {\\em file erik8a.tex, 1999-07-27}",
"arxiv_id": "physics/9907046",
"authors": [
"Friedrich W. Hehl",
"Yuri N. Obukhov",
"Guillermo F. Rubilar"
],
"categories": [
"physics.class-ph",
"gr-qc",
"physics.ed-ph",
"physics.gen-ph"
],
"title": "Classical Electrodynamics: A Tutorial on its Foundations",
"url": "https://arxiv.org/abs/physics/9907046"
},
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