An apparatus for spin polarizing a particle beam is adapted to process an input particle beam in such a way as to generate an at least partially spin polarized output particle beam. A vortex beam generator for imparting orbital angular momentum to the input particle beam. An electromagnetic field generator generates a transverse magnetic field, space-variant and symmetric with respect to the axis of the input particle beam, in such a way as to change the spin of the particles and attach thereto different values of orbital angular momentum in dependence on their input spin values. A beam component separating group spatially separates the particles in dependence on their orbital angular momentum values, in such a way as to obtain the at least partially spin polarized output particle beam.