We present sufficient conditions for the exact controllability in projection of the linear Schrödinger equations in the case where the spectrum of the free Hamiltonian is pure point. We consider the general case in which the Hamiltonian may be nonlinear with respect to the control. The controllability result applies, in particular, to Schrödinger equations with a polarizability term.
Boussaïd, N., Caponigro, M., Chambrion, T. (2025). On the Controllability in Projections for Linear Quantum Systems. In Giuseppe Floridia, Enrique Zuazua (a cura di), Analysis and Numerics of Design, Control and Inverse Problems (pp. 40-57). Springer [10.1007/978-981-96-6182-4_3].
On the Controllability in Projections for Linear Quantum Systems
Caponigro, Marco
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2025-10-01
Abstract
We present sufficient conditions for the exact controllability in projection of the linear Schrödinger equations in the case where the spectrum of the free Hamiltonian is pure point. We consider the general case in which the Hamiltonian may be nonlinear with respect to the control. The controllability result applies, in particular, to Schrödinger equations with a polarizability term.| File | Dimensione | Formato | |
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