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arXiv · 1204.6017

Controllability of the bilinear Schr\"odinger equation with several controls and application to a 3D molecule

Ugo Boscain·Marco Caponigro·Mario Sigalotti
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Abstract

We show the approximate rotational controllability of a polar linear molecule by means of three nonresonant linear polarized laser fields. The result is based on a general approximate controllability result for the bilinear Schr\"odinger equation, with wavefunction varying in the unit sphere of an infinite-dimensional Hilbert space and with several control potentials, under the assumption that the internal Hamiltonian has discrete spectrum.

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Ugo Boscain, Marco Caponigro, Mario Sigalotti. 2012-04-26. Controllability of the bilinear Schr\"odinger equation with several controls and application to a 3D molecule. https://doi.org/10.1109/cdc.2012.6426289

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