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A covariant method is proposed for calculating the amplitudes of processes involving polarized spin 1/2 particles. It is suitable for calculating the interference terms in the cross sections of such processes. As an illustration, expressions are given for the amplitudes of electron-electron scattering in the lowest order of perturbation theory and expressions for the electron current in the case of emission of two bremsstrahlung photons in the ultrarelativistic limit.

theoretical and mathematical physics

A covariant method for calculating amplitudes of processes involving polarized spin 1/2 particles. Calculation of the interference terms in their cross sections