5 papers
Single-input perturbative control of a quantum symmetric rotor
Thomas Chambrion, Eugenio Pozzoli
We consider the Schrödinger partial differential equation of a rotating symmetric rigid molecule (symmetric rotor) driven by a z-linearly polarized electric field, as prototype of…
Classical and quantum controllability of a rotating asymmetric molecule
Eugenio Pozzoli
We study both the classical and quantum rotational dynamics of an asymmetric top molecule, controlled through three orthogonal electric fields that interact with its dipole moment.…
Quantum confinement in -Grushin planes
Eugenio Pozzoli
We consider here a family of singular Laplace-Beltrami operators, focussing our attention on the problem of so-called quantum confinement on the half-plane equipped with Riemannian…
Quantum confinement for the curvature Laplacian on 2D-almost-Riemannian manifolds
Ivan Beschastnyi, Ugo Boscain, Eugenio Pozzoli
Two-dimension almost-Riemannian structures of step 2 are natural generalizations of the Grushin plane. They are generalized Riemannian structures for which the vectors of a local o…
On Geometric Quantum Confinement in Grushin-type Manifolds
Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli
We study the problem of so-called geometric quantum confinement in a class of two-dimensional incomplete Riemannian manifold with metric of Grushin type. We employ a constant-fibre…