Alessandro Duca

activity

20182022

most citedBilinear control and growth of Sobolev norms for the nonlinear Schrödinger equation

1 citations · 2 across the 4 of their papers we have counts for

collaborators

Showing math.OCShow 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.OC2019

Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall

Alessandro Duca, Romain Joly, Dmitry Turaev

We study the Schrödinger equation $i \partial_{t} ψ = - Δ ψ + V ψ$ on $L^{2} ((0, 1), C)$ where $V$ is a very high and localized potential wall. We aim to perform permutations of the eige…