  A class of unitary operations generated by idealized, semiclassical fields is
studied. The operations implemented by sharp potential kicks are revisited and
the possibility of performing them by softly varying external fields is
examined.
  The possibility of using the ion traps as 'operation factories' transforming
quantum states is discussed. The non-perturbative algorithms indicate that the
results of abstract $\delta$-pulses of oscillator potentials can become real.
Some of them, if empirically achieved, could be essential to examine certain
atypical quantum ideas. In particular, simple dynamical manipulations might
contribute to the Aharonov-Bohm criticism of the time-energy uncertainty
principle, some other, to verify the existence of fundamental precision limits
of the position measurements or the reality of `non-commutative geometries'.
