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N°Spécial De Revue/Special Issue Année : 2023

On the controllability in projections for linear quantum systems

Résumé

We present sufficient conditions for the exact controllability in projection of the linear Schrödinger 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 Schrödinger equations with a polarizability term.
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hal-04543055 , version 1 (11-04-2024)

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  • HAL Id : hal-04543055 , version 1

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Thomas Chambrion, Nabile Boussaid, Marco Caponigro. On the controllability in projections for linear quantum systems. 2023, “Analysis and Numerics of Design, Control and Inverse Problems” (G. Floridia & E. Zuazua Eds), Springer INdAM Series, Springer Singapore. ⟨hal-04543055⟩
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