How does magnetic moment transform due to relativity?

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SUMMARY

The discussion centers on the transformation of magnetic moments under special relativity, specifically addressing how the magnetic moment of an electron is affected when viewed from different frames of reference. It is established that while electric fields compress along the axis of motion, the magnetic moment also undergoes a transformation, although its exact new shape is not definitively stated. The relationship between electric and magnetic fields is highlighted through the field-strength tensor F_{\mu \nu}, indicating that these quantities are interdependent and not Lorentz invariant. Relevant resources for further understanding include links to academic papers on the topic.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with electromagnetic field theory
  • Knowledge of Lorentz transformations
  • Basic concepts of magnetic moments and dipoles
NEXT STEPS
  • Study the Lorentz transformation of electromagnetic fields
  • Explore the field-strength tensor F_{\mu \nu} in detail
  • Review the implications of magnetic moment transformations in special relativity
  • Examine case studies on moving dipoles in electromagnetic theory
USEFUL FOR

Physicists, students of theoretical physics, and anyone interested in the interplay between electromagnetism and relativity will benefit from this discussion.

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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.
 
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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...
 
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