Quantum Control: discovered, repeated and reformulated ideas mark the progress

The dynamical manipulation of physical systems is necessary to explain the structure of physical theories. However, the manipulation techniques in quantum theories progress slowly, giving still no certainty that all theoretically described states and all unitary transformations can be indeed achieved. Below, we report some elements of idealized control of the evolution processes in time dependent quadratic potentials, with attention focused on the abstract δ-pulses of the elastic forces. Some of them, if empirically approximated, could become essential for a sequence of difficult interpretation problems.