  The possibility of testing spatial noncommutativity by current experiments on
normal quantum scales is investigated. For the case of both position-position
and momentum-momentum noncommuting spectra of ions in crossed electric and
magnetic fields are studied in the formalism of noncommutative quantum
mechanics. In a limit of the kinetic energy approaching its lowest eigenvalue
this system possesses non-trivial dynamics. Signals of spatial noncommutativity
in the angular momentum are revealed. They are within limits of the measurable
accuracy of current experiments. An experimental test of the predictions using
a modified electron momentum spectrum is suggested. The related experimental
sensitivity and subtle points are discussed. The results are the first step on
a realizable way towards a conclusive test of spatial noncommutativity.
