21 citations · 51 across the 16 of their papers we have counts for
5 papers · 1 filter
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…
Approximation of Schrödinger operators with point interactions on bounded domains
Diego Noja, Raffaele Scandone
We consider Schrödinger operators on a bounded domain , with homogeneous Robin or Dirichlet boundary conditions on and a point (zero-range) inter…
A characterization of singular Schrödinger operators on the half-line
Raffaele Scandone, Lorenzo Luperi Baglini, Kyrylo Simonov
We study a class of delta-like perturbations of the Laplacian on the half-line, characterized by Robin boundary conditions at the origin. Using the formalism of nonstandard analysi…
The boundedness of wave operators for the three-dimensional multi-centre point interaction
Gianfausto Dell'Antonio, Alessandro Michelangeli, Raffaele Scandone +1
We prove that, for arbitrary centres and strengths, the wave operators for three dimensional Schrödinger operators with multi-centre local point interactions are bounded in $L^p(\m…
Dispersive estimates for Schrödinger operators with point interactions in
Felice Iandoli, Raffaele Scandone
The study of dispersive properties of Schrödinger operators with point interactions is a fundamental tool for understanding the behavior of many body quantum systems interacting wi…