  We consider the orbital angular momentum of a free electron vortex moving in
a uniform magnetic field. We identify three contributions to this angular
momentum: the canonical orbital angular momentum associated with the vortex,
the angular momentum of the cyclotron orbit of the wavefunction, and a
diamagnetic angular momentum. The cyclotron and diamagnetic angular momenta are
found to be separable according to the parallel axis theorem. This means that
rotations can occur with respect to two or more axes simultaneously, which can
be observed with superpositions of vortex states.
