Four potential of magnetic dipole at rest

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SUMMARY

The discussion focuses on transforming the four-potential of a magnetic dipole at rest to a moving reference frame, specifically the Lab frame. The magnetic vector potential, denoted as A, is acknowledged, while the scalar potential is stated to be zero. The transformation involves applying Lorentz transformation equations, where phi transforms like time (t) and A_x transforms like the spatial coordinate (x). The user seeks clarity on executing this transformation accurately.

PREREQUISITES
  • Understanding of electromagnetism concepts, specifically magnetic dipoles.
  • Familiarity with four-potential in electromagnetism.
  • Knowledge of Lorentz transformation equations.
  • Basic grasp of vector potentials in electromagnetic theory.
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  • Study the derivation of the four-potential for moving charges.
  • Learn about the implications of Lorentz transformations on electromagnetic fields.
  • Explore the relationship between magnetic vector potential and electric fields.
  • Investigate the effects of velocity on the magnetic dipole moment.
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Students and professionals in physics, particularly those specializing in electromagnetism, as well as researchers working on problems involving magnetic dipoles and relativistic transformations.

Feynmanfan
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I have some trouble with this electromagnetism problem: I need to transform the four-potential of a magnetic dipole at rest, in order to obtain it's value in a reference frame (I understand it's the Lab frame) where we see the dipole moving at v.

I know what the magnetic vector potential is : A and the scalar potential is zero but how do I make this transform?

Thanks for your help
 
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phi transforms like t, and A_x transforms like x in the Lorentz transform equations.
 

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