6 citations · 24 across the 10 of their papers we have counts for
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math.OC2022★ 3 cited
On global approximate controllability of a quantum particle in a box by moving walls
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We study a system composed of a free quantum particle trapped in a box whose walls can change their position. We prove the global approximate controllability of the system. That is…
math.FA2022★ 5 cited
On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We study two seminal approaches, developed by B. Simon and J. Kisyński, to the well-posedness of the Schrödinger equation with a time-dependent Hamiltonian. In both cases the Hamil…