6 papers
Charged particle motion in a strong magnetic field: The first order expansion
Ugo Boscain, Wadim Gerner
We provide a mathematically rigorous derivation of the first order expansion of the motion of a charged particle in a strong magnetic field. In contrast to the derivations that can…
Enhancing the controllability of quantum systems via a static field
Ruikang Liang, Eugenio Pozzoli, Monika Leibscher +3
We provide a sufficient condition for the controllability of a bilinear closed quantum system steered by a static field and a time-varying field, based on the notion of weakly coni…
Schr{ö}dinger eigenfunctions sharing the same modulus and applications to the control of quantum systems
Ugo Boscain, Kévin Le Balc'H, Mario Sigalotti
In this paper we investigate when linearly independent eigenfunctions of the Schr\''odinger operator may have the same modulus. General properties are established and the one-dimen…
Charged particle motion in a strong magnetic field: Applications to plasma confinement
Ugo Boscain, Wadim Gerner
We derive the zero order approximation of a charged particle under the influence of a strong magnetic field in a mathematically rigorous manner and clarify in which sense this appr…
Schrödinger evolution on surfaces in 3D contact sub-Riemannian manifolds
Riccardo Adami, Ugo Boscain, Dario Prandi +1
Let be a 3-dimensional contact sub-Riemannian manifold and a surface embedded in . Such a surface inherits a field of directions that becomes singular at characteristic…
Ensemble control of n-level quantum systems with a scalar control
Ruikang Liang, Ugo Boscain, Mario Sigalotti
In this paper we discuss how a general bilinear finite-dimensional closed quantum system with dispersed parameters can be steered between eigenstates. We show that, under suitable…