Point Interaction Controls for the Energy Transfer in 3-D Quantum Systems

Mathematics – Optimization and Control

Scientific paper

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Corrected version with major conceptual changes; 19 pages; LaTex; to be published in International Journal of Control

Scientific paper

We consider the problem of energy-mass transfer from scattering to bound
states for a one body quantum system under the action of a time dependent point
interaction. Under suitable assumptions on the initial state of the particle,
we prove a result of local controllability of this process

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