Magnetic dipole moment of a moving electric dipole

TL;DR

This paper derives the magnetic dipole moment of a moving electric dipole by analyzing its current density, ensuring consistency with relativistic transformations in macroscopic electrodynamics.

Contribution

It provides a relativistically consistent expression for the magnetic dipole moment of a moving electric dipole.

Findings

Magnetic dipole moment aligns with relativistic transformations.

Current density decomposes into polarization and magnetization currents.

Results are consistent with macroscopic electrodynamics principles.

Abstract

The current density of a moving electric dipole is expressed as the sum of polarization and magnetization currents. The magnetic field due to the latter current is that of a magnetic dipole moment that is consistent with the relativistic transformations of the polarization and magnetization of macroscopic electrodynamics.