Control of some quantum systems - Role of phases

Constructive procedures for the exact control of a class of molecular and spin systems with sinusoidal pulses are described. It is shown that the phases of these fields plays a crucial role. It is also shown that the fields can be bounded in amplitude and that the number of phases required to be at the disposal of the experimenter is quite small. The fact that the amplitudes can be bounded in advance means, amongst other things, that the conditions needed for the underlying model to be valid, can be guaranteed to hold. Copyright (C) 2001 IFAC.