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Reachable sets for a 3D accidentally symmetric molecule

Abstract : In this paper we study the controllability properties of the quantum rotational dynamics of a 3D symmetric molecule, with electric dipole moment not collinear to the symmetry axis of the molecule (that is, an accidentally symmetric-top). We control the dynamics with three orthogonally polarized electric fields. When the dipole has a nonzero component along the symmetry axis, it is known that the dynamics is approximately controllable. We focus here our attention to the case where the dipole moment and the symmetry axis are orthogonal (that is, an orthogonal accidentally symmetric-top), providing a description of the reachable sets.
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Submitted on : Tuesday, October 27, 2020 - 7:14:01 PM
Last modification on : Tuesday, November 16, 2021 - 5:17:34 AM
Long-term archiving on: : Thursday, January 28, 2021 - 7:40:51 PM


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  • HAL Id : hal-02981135, version 1


Ugo Boscain, Eugenio Pozzoli, Mario Sigalotti. Reachable sets for a 3D accidentally symmetric molecule. 21st IFAC World Congress, Jul 2020, Berlin / Virtual, Germany. ⟨hal-02981135⟩



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