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Classical Electrodynamics: A Tutorial on its Foundations | | Friedrich W. Hehl
; Yuri N. Obukhov
; Guillermo F. Rubilar
; | | Date: |
27 Jul 1999 | | Subject: | Classical Physics; General Physics; Physics Education | physics.class-ph gr-qc physics.ed-ph physics.gen-ph | | Affiliation: | Cologne/Moscow | | 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 $(
ho,j)$. 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 $Hsim {cal B}$. {em file erik8a.tex, 1999-07-27} | | Source: | arXiv, physics/9907046 | | Services: | Forum | Review | PDF | Favorites | |
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