  Dimensionality aspects of non-minimal electromagnetic couplings are
investigated. By means of the Foldy-Wouthuysen transformation, we attain
(non-)relativistic interactions related to the non-minimal coupling in
three-dimensional spacetime, for both the bosonic and fermionic fields. Next,
we establish some comparisons and analyse particular situations in which the
external electromagnetic fields are described either by Maxwell or
Maxwell-Chern-Simons Electrodynamics. In addition, we consider the situation of
a non-minimal coupling for the fermionic field in four dimensions, carry out
its dimensional reduction to three dimensions and show that the
three-dimensional scenario previously worked out can be recovered as a
particular case. Finally, we discuss a number of structural aspects of both
procedures.
