On the controllability in projections for linear quantum systems
Abstract
We present sufficient conditions for the exact controllability in projection of the linear Schr\"odinger equations in the case where the spectrum of the free Hamiltonian is pure point. We consider the general case in which the Hamiltonian may be nonlinear with respect to the control. The controllability result applies, in particular, to Schr\"odinger equations with a polarizability term.
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