User:Maschen/Relativistic electromagnetic dipole moments

In special relativity, the electric dipole moment d and magnetic dipole moment μ of a particle transform together under Lorentz transformations.

Dipole moment tensor
The electric dipole moment d and magnetic dipole moment μ of a particle are unified into a single tensor



\sigma^{\mu\nu} = \begin{pmatrix} 0    & d_x & d_y & d_z \\ - d_x & 0      & \mu_z / c  &   - \mu_y/c    \\ - d_y & - \mu_z / c  & 0      &  \mu_x /c  \\ - d_z & \mu_y / c  & - \mu_x /c  & 0 \end{pmatrix}, $$