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Communication Dans Un Congrès Année : 2013

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

Résumé

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 Schrödinger 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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Dates et versions

hal-00691706 , version 1 (26-04-2012)

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Citer

Ugo Boscain, Marco Caponigro, Mario Sigalotti. Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule. 2012 IEEE 51st Annual Conference on Decision and Control (CDC), Dec 2012, Maui, HI, United States. pp.3038-3043, ⟨10.1109/CDC.2012.6426289⟩. ⟨hal-00691706⟩
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