The new derivation of the equation of the spin precession is given for a
particle possessing electric and magnetic dipole moments. Contributions from
classical electrodynamics and from the Thomas effect are explicitly separated.
A fully covariant approach is used. The final equation is expressed in a very
simple form in terms of the fields in the instantaneously accompanying frame.
The Lorentz transformations of the electric and magnetic dipole moments and of
the spin are derived from basic equations of classical electrodynamics. For
this purpose, the Maxwell equations in matter are used and the result is
confirmed by other methods. An antisymmetric four-tensor is correctly
constructed from the electric and magnetic dipole moments.Comment: 12 pages, final versio