Polarization Precession

Deduce an expression for the rate of precession of the spin polarization unit vector P̂ of a relativistic charged particle in laboratory electric and magnetic fields E and B. The polarization vector is to be measured in the so-called comoving rest frame of the particle obtained by boosting from the lab frame along the direction l̂ that is tangent the the particle’s laboratory trajectory, and whose axes are defined by the (lab-frame) triad l̂, d̂l/dt and l̂ × d̂l/dt. H owever, express the time dependence of this polarization vector in terms of lab-frame quantities. Take into account the so-called Thomas precession [1] of vectors in the rest frame of an accelerating particle when the (instantaneous) rest frame is defined by a boost along the instantaneous lab-frame velocity.