14 citations · 18 across the 6 of their papers we have counts for
6 papers
Total Variation of the Control and Energy of Bilinear Quantum Systems
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
In the present note, we give two examples of bilinear quantum systems showing good agreement between the total variation of the control and the variation of the energy of solutions…
Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum
Ugo Boscain, Marco Caponigro, Mario Sigalotti
We present a sufficient condition for approximate controllability of the bilinear discrete-spectrum Schrödinger equation exploiting the use of several controls. The controllability…
Energy Estimates for Low Regularity Bilinear Schrödinger Equations
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
This paper presents an energy estimate in terms of the total variation of the control for bilinear infinite dimensional quantum systems with unbounded potentials. These estimates a…
Which notion of energy for bilinear quantum systems?
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
In this note we investigate what is the best L^p-norm in order to describe the relation between the evolution of the state of a bilinear quantum system with the L^p-norm of the ext…
Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule
Ugo Boscain, Marco Caponigro, Mario Sigalotti
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 approxim…
Families of vector fields which generate the group of diffeomorphisms
Andrei Agrachev, Marco Caponigro
Given a compact manifold M, we prove that any bracket generating and invariant under multiplication on smooth functions family of vector fields on M generates the connected compone…