  It is shown that, in some cases, the effect of discrete distributions of flux
lines in quantum mechanics can be associated with the effect of continuous
distributions of magnetic fields with special symmetries. In particular, flux
lines with an arbitrary value of magnetic flux can be used to create energetic
barriers, which can be used to confine quantum systems in specially designed
configurations. This generalizes a previous work where such energy barriers
arose from flux lines with half-integer fluxons. Furthermore, it is shown how
the Landau levels can be obtained from a two-dimensional grid of flux lines.
These results suggest that the classical magnetic force can be seen as emerging
entirely from the Aharonov-Bohm effect. Finally, the basic elements of a
semi-classical theory that models the emergence of classical magnetic forces
from fields with special symmetries are introduced.
