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Chapitre D'ouvrage Année : 2000

On the controllability of bilinear quantum systems

Résumé

We present in this paper ontrollability results for quantum sys- tems intera ting with lasers. A negative result for in nite dimensional spa es serves as a starting point for a nite dimensional analysis. We show that under physi ally reasonable hypothesis in su h systems we an ontrol the population of the eigenstates. Appli ations are given for a ve-level system.
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Dates et versions

hal-00536518 , version 1 (08-03-2013)

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  • HAL Id : hal-00536518 , version 1

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Gabriel Turinici. On the controllability of bilinear quantum systems. M. Defranceschi and C. Le Bris. Mathematical models and methods for ab initio Quantum Chemistry, Springer, pp.75-92, 2000, Lecture Notes in Chemistry vol. 74. ⟨hal-00536518⟩
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