Controllability of the bilinear Schr\"odinger equation with several controls and application to a 3D molecule
Optimization and Control
2013-02-14 v1
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.
Keywords
Cite
@article{arxiv.1204.6017,
title = {Controllability of the bilinear Schr\"odinger equation with several controls and application to a 3D molecule},
author = {Ugo Boscain and Marco Caponigro and Mario Sigalotti},
journal= {arXiv preprint arXiv:1204.6017},
year = {2013}
}