  We theoretically investigate a scattering configuration in Compton
scattering, in which the orientation of the electron spin is reversed and
simultaneously, the photon polarization changes from linear polarization into
circular polarization. The intrinsic angular momentum of electron and photon
are computed along the coincident propagation direction of the incoming and
outgoing photon. We find that this intrinsic angular momentum is not conserved
in the considered scattering process. We also discuss the generation of
entanglement for the considered scattering setup and present an angle dependent
investigation of the corresponding differential cross section, Stokes
parameters and spin expectation.
