Controllability of Schrödinger equation with a nonlocal term
This paper is concerned with the internal distributed control problem for the 1D Schrödinger equation, () = − +() +() , that arises in quantum semiconductor models. Here () is a non local Hartree–type nonlinearity stemming from the coupling with the 1D Poisson equation, and () is a regular function with linear growth at infinity, including constant electric fields. By means of both the Hilbert Uniqueness Method and the contraction mapping theorem it is shown that...