Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule

Details Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule

2012-04-26

arxiv.org/abs/1204.6017v1

Mathematics

Optimization and Control

Scientific paper

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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