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arXiv · 1111.4550

Periodic control laws for bilinear quantum systems with discrete spectrum

Nabile Boussaïd·Marco Caponigro·Thomas Chambrion
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Abstract

We provide bounds on the error between dynamics of an infinite dimensional bilinear Schr\"odinger equation and of its finite dimensional Galerkin approximations. Standard averaging methods are used on the finite dimensional approximations to obtain constructive controllability results. As an illustration, the methods are applied on a model of a 2D rotating molecule.

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Nabile Boussaïd, Marco Caponigro, Thomas Chambrion. 2011-11-19. Periodic control laws for bilinear quantum systems with discrete spectrum. https://doi.org/10.1109/acc.2012.6315436

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