Classical particle with spin and Clifford algebra

The equations of motion of a classical particle with spin in an electromagnetic field are derivated in the language of the Clifford algebra of Minkowski space constructed by Hestenes [1]. When the Clifford algebra is used, these equations, their derivation, and solution simplify considerably, and the equations acquire a clear geometrical meaning. A perturbation theory for these equations is developed, and this permits calculations of the motion and polarization of particles in various electromagnetic fields.