281 citations
- Sapienza University of RomeIT10 papers
- Colorado School of MinesUS9 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT9 papers
- Istituto Nazionale di Fisica NucleareIT8 papers
- University of Milano-BicoccaIT8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Istituto Nazionale di Fisica Nucleare, Roma Tor VergataIT7 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BariIT7 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di TorinoIT7 papers
- University of Naples Federico IIIT7 papers
- National Centre for Nuclear ResearchPL6 papers
- National Institute for AstrophysicsIT6 papers
16 papers · 1 filter
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…
A Quantum Model of Feshbach Resonances
R. Carlone, M. Correggi, D. Finco +1
We consider a quantum model of two-channel scattering to describe the mechanism of a Feshbach resonance. We perform a rigorous analysis in order to count and localize the energy re…
Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one
Raffaele Carlone, Domenico Finco, Lorenzo Tentarelli
The paper discusses nonlinear singular perturbations of delta type of the fractional Schrödinger equation , with …
The three-body problem in dimension one: From short-range to contact interactions
Giulia Basti, Claudio Cacciapuoti, Domenico Finco +1
We consider a Hamiltonian describing three quantum particles in dimension one interacting through two-body short-range potentials. We prove that, as a suitable scale parameter in t…
Ground state and orbital stability for the NLS equation on a general starlike graph with potentials
Claudio Cacciapuoti, Domenico Finco, Diego Noja
We consider a nonlinear Schrödinger equation (NLS) posed on a graph or network composed of a generic compact part to which a finite number of half-lines are attached. We call this…
The point-like limit for a NLS equation with concentrated nonlinearity in dimension three
Claudio Cacciapuoti, Domenico Finco, Diego Noja +1
We consider a scaling limit of a nonlinear Schrödinger equation (NLS) with a nonlocal nonlinearity showing that it reproduces in the limit of cutoff removal a NLS equation with non…