66 citations · 187 across the 25 of their papers we have counts for
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On the controllability in projections for linear quantum systems
Thomas Chambrion, Nabile Boussaid, Marco Caponigro
We present sufficient conditions for the exact controllability in projection of the linear Schr{ö}dinger equations in the case where the spectrum of the free Hamiltonian is pure po…
On the Ball-Marsden-Slemrod obstruction for bilinear control systems
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
In this paper we present an extension to the case of -controls of a famous result by Ball--Marsden--Slemrod on the obstruction to the controllability of bilinear control syste…
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…
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…
Small time reachable set of bilinear quantum systems
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
This note presents an example of bilinear conservative system in an infinite dimensional Hilbert space for which approximate controllability in the Hilbert unit sphere holds for ar…