Page:Das Relativitätsprinzip und seine Anwendung.djvu/11

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In this way, one is led to the following equations (which are in agreement with those of ordinary Maxwellian theory):

Herein, is the dielectric displacement, the magnetic induction, the magnetic force, the electric force, the electric current, the density of the observable electric charges. If one indicates the average formation by overlines, then it is e.g.

where , have the earlier meaning; furthermore it is

where is the electric moment, the magnetization per unit volume, and the velocity of matter. In the derivation of these formulas, one separates the electrons into three kinds. The first kind, the polarization electrons, produce the electric moment by their displacement; the second kind, the magnetization electrons, produce the magnetic moment by their orbits; the third kind, the conduction electrons, are freely moving in matter and produce the observable charge density and the current . The latter is still to be separated into two parts; if is the relative velocity of the electrons towards matter, then the total velocity of the electrons is , thus the current transported by them


is the observable charge , \ the convection current, the actual conduction current .

Transformation formulas exist for all these magnitudes, of which some may be given: