Alessandro Duca

activity

20172026

most citedControllability of periodic bilinear quantum systems on infinite graphs

8 citations · 23 across the 17 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.OC2021

Exact controllability to eigensolutions of the bilinear heat equation on compact networks

Piermarco Cannarsa, Alessandro Duca, Cristina Urbani

Partial differential equation on networks have been widely investigated in the last decades in view of their application to quantum mechanics (Schrödinger type equations) or to the…

math.OC2021

Achieving energy permutation of modes in the Schrödinger equation with moving Dirac potentials

Alessandro Duca, Carlos Castro

In this work, we study the Schrödinger equation $i \partial_{t} ψ = - Δ ψ + η (t) \sum_{j = 1}^{J} δ_{x = a_{j} (t)} ψ$ on $L^{2} ((0, 1), C)$ where $η : [0, T] ⟶ R^{+}$ and $a_j:[0,T]\longrightarrow…

math.AP2021★ 1 cited

Bilinear control and growth of Sobolev norms for the nonlinear Schrödinger equation

Alessandro Duca, Vahagn Nersesyan

We consider the nonlinear Schrödinger equation (NLS) on a torus of arbitrary dimension. The equation is studied in presence of an external potential field whose time-dependent ampl…