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The answer to a previous question suggests that a moving, permanently magnetized material has an effective electric polarization $\vec{v}\times\vec{M}$. This is easy to check in the case of straight-line motion, using a Lorentz boost.

I suspect this formula is still correct for motion that is not in a straight line, but I'm not interested in reinventing the wheel. Does anyone know of a textbook or journal article that derives this $\vec{v}\times\vec{M}$ term? Even better, does anyone know of experimental observation of this effect?

EDIT:
Followup question: What is the electric field generated by a spinning magnet?

Andrew
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2 Answers2

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To close the loop, Andrew, the answer to your newest question is:

The best and most famous reference about the electrodynamics of moving bodies is

Einstein, Albert (1905-06-30). "Zur Elektrodynamik bewegter Körper". Annalen der Physik 17: 891–921. See also a digitized version at Wikilivres:Zur Elektrodynamik bewegter Körper.

The English translation, "On the Electrodynamics of Moving Bodies", is here:

http://www.fourmilab.ch/etexts/einstein/specrel/www/

The content of this paper became known as the special theory of relativity. I am just partly joking because for uniformly moving media, the Lorentz boost to the rest frame is still the most natural way to proceed.

Tobias Kienzler
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Luboš Motl
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  • Fair enough, if I'm going to insist I'm interested in non-uniform motion, I should ask a question about non-uniform motion. Here's one to start with: http://physics.stackexchange.com/questions/6581/what-is-the-electric-field-generated-by-a-spinning-magnet – Andrew Mar 09 '11 at 23:47
  • I'll accept this as the answer to the uniform motion case, and ask a followup question for cases that can't be addressed with a Lorentz boost. – Andrew Mar 10 '11 at 16:26
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Chapter VII in Kong's Electromagnetic Wave Theory contains not only the derivation of the field transformations, but also of the material parameters, the wave vector and the frequency (Doppler shift).

Tobias Kienzler
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