Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)
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This paper is dediated to the searh of tailored controllability concepts for quantum systems interating with lasers. A negative result for in finite dimensional spaes serves as motivation for a finite dimensional analysis. We show that under physially reasonable hypothesis we can locally control sets of observables. As a remarkable particular case global exact controllability is proven for the population of the eigenstates.