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Advances on the controllability of bilinear quantum systems on compact graphs. (arXiv:1809.06249v1 [math-ph])

来源于:arXiv
In this work, we consider the bilinear Schr\"odinger equation on compact graphs. We study new hypotheses leading to the global exact controllability of the equation in suitable Sobolev's spaces. Afterwards, we introduce the "energetic controllability", a weaker notion of controllability useful when the global exact controllability fails. We provide examples of the main results involving for instance star graphs. 查看全文>>