  We consider the theory of spinor fields written in polar form, that is the
form in which the spinor components are given in terms of a module times a
complex unitary phase respecting Lorentz covariance. In this formalism, spinors
can be treated in their most general mathematical form, without the need to
restrict them to plane waves. As a consequence, calculations of scattering
amplitudes can be performed by employing the most general fermion propagator,
and not only the free propagator usually employed in QFT. In this article, we
use these quantities to perform calculations in two notable processes, the
electron-positron and Compton scatterings. We show that although the
methodology differs from the one used in QFT, the final results in the two
examples turn out to give no correction as predicted by QFT.
