  Recently interesting observations on electron vortex beams, which have
angular momentum about the center of the vortex beams, have been made. We have
shown that the basic features of the electron vortex beams in a uniform
magnetic field are understandable by using the classical motions of electrons.
We have constructed a classical vortex-like motion by the collective motion of
individual electrons in their cyclotron motions with a constant canonical
angular momentum in the symmetric gauge, which models electron vortex beams, in
a uniform magnetic field. With this model the various properties of circulating
currents and the relation between energy and kinetic angular momentum in the
electron vortex beams are well explained. We have also shown that the mismatch
between the centers of the electron vortex beam and the classical cyclotron
orbits naturally induces the parallel axis theorem and also the time-varying
kinetic angular momentum of the electron vortex beam for certain distributions
of classical electrons.
