99 citations · 586 across the 27 of their papers we have counts for
29 papers
On Fermi's model for the scattering of a slow neutron from a bound proton
Domenico Finco, Raffaele Scandone, Alessandro Teta
We consider a model Hamiltonian, introduced by Fermi in 1936, describing a two-particle system made of a neutron and a harmonically bound proton, where the neutron-proton interacti…
Failure of scattering for the NLSE with a point interaction in dimension two and three
C. Cacciapuoti, D. Finco, D. Noja
In this paper we consider the NLS equation with power nonlinearity and a point interaction (a "-potential" in the physical literature) in dimension two and three. We will show t…
Well-posedness of the three-dimensional NLS equation with sphere-concentrated nonlinearity
Domenico Finco, Lorenzo Tentarelli, Alessandro Teta
We discuss strong local and global well-posedness for the three-dimensional NLS equation with nonlinearity concentrated on . Precisely, local well-posedness is proved…
Blow-up and instability of standing waves for the NLS with a point interaction in dimension two
D. Finco, D. Noja
In the present note we study the NLS equation in dimension two with a point interaction and in the supercritical regime, showing two results. After obtaining the (nonstandard) viri…
Three-Body Hamiltonian with Regularized Zero-Range Interactions in Dimension Three
Giulia Basti, Claudio Cacciapuoti, Domenico Finco +1
We study the Hamiltonian for a system of three identical bosons in dimension three interacting via zero-range forces. In order to avoid the fall to the center phenomenon emerging i…
Well posedness of the nonlinear Schrödinger equation with isolated singularities
Claudio Cacciapuoti, Domenico Finco, Diego Noja
We study the well posedness of the nonlinear Schrödinger (NLS) equation with a point interaction and power nonlinearity in dimension two and three. Behind the autonomous interest o…