  Previous work [I. Bialynicki-Birula, Phys. Rev. Lett. {\bf 93}, 20402 (2004)]
is extended to cover more realistic examples of electromagnetic waves, viz. the
Bessel beams. It is shown that electrons may be guided by a Bessel beam with
nonvanishing orbital angular momentum. The mechanism for trapping the electrons
near the electromagnetic vortex line of such a wave field is the same as for
the Trojan states of Rydberg electrons produced by a circularly polarized wave.
The main difference is that in the present case the transverse motion of
electrons in a beam is confined under the action of the electromagnetic wave
alone, no additional attraction center is required. We also discuss briefly the
motion of electrons in Neumann and Hankel beams.
