Periodic control laws for bilinear quantum systems with discrete spectrum

Details Periodic control laws for bilinear quantum systems with discrete spectrum Periodic control laws for bilinear quantum systems with discrete spectrum

2011-11-19

arxiv.org/abs/1111.4550v1

Mathematics

Optimization and Control

6 pages, submitted to ACC 2012

Scientific paper

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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