  Standard electron optics predicts Larmor image rotation in the magnetic lens
field of a TEM. Introducing the possibility to produce electron vortex beams
with quantized orbital angular momentum brought up the question of their
rotational dynamics in the presence of a magnetic field. Recently, it has been
shown that electron vortex beams can be prepared as free electron Landau states
showing peculiar rotational dynamics, including no and cyclotron
(double-Larmor) rotation. Additionally very fast Gouy rotation of electron
vortex beams has been observed. In this work a model is developed which reveals
that the rotational dynamics of electron vortices are a combination of slow
Larmor and fast Gouy rotations and that the Landau states naturally occur in
the transition region in between the two regimes. This more general picture is
confirmed by experimental data showing an extended set of peculiar rotations,
including no, cyclotron, Larmor and rapid Gouy rotations all present in one
single convergent electron vortex beam.
