How does magnetic moment transform due to relativity?

[idea2000]

Hi, I have seen textbooks model how an electric field of an electron changes when viewed from another frame of reference. In these models, the electric fields seems to "compress" along the axis of motion. What happens to the magnetic moment in these situations? Does the magnetic moment also get compressed? What is the new shape of the magnetic moment?



Thanks in advance for any help with this question.

 

[ChrisVer]

The electric and magnetic field are not Lorentz invariant themselves...In special relativity, you can show that the Lorentz invariant quantities mix them (from the field-strength tensor $F_{\mu \nu}$... they depend on each other, and that's why they are the same coin from different sides...

 

[WannabeNewton]

What happens to the magnetic moment in these situations? Does the magnetic moment also get compressed? What is the new shape of the magnetic moment?

See here: http://puhep1.princeton.edu/~mcdonald/examples/movingdipole.pdf
and here: http://arxiv.org/pdf/1201.0938.pdf
and also here: http://www.jpier.org/PIERB/pierb47/13.12110903.pdf

P.S. this should be in the relativity section at best. This has nothing to do with QM.