64 citations · 377 across the 31 of their papers we have counts for
15 papers · 1 filter
Microscopic Derivation of Time-dependent Point Interactions
R. Carlone, M. Correggi, M. Falconi +1
We study the dynamics of the three-dimensional polaron - a quantum particle coupled to bosonic fields - in the quasi-classical regime. In this case the fields are very intense and…
Expansion of the resolvent in a Feshbach model
Raffaele Carlone, Domenico Finco
In this paper we extend the results proved in (Carlone, R., Correggi, M., Finco, D., Teta, A.: A model for Feshbach Resonances arXiv:1901.08282 [math-ph]) about Feshbach resonances…
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 …
An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions
R Carlone, M Correggi, L Tentarelli
We present an introduction to the nonlinear Schrödinger equation (NLSE) with concentrated nonlinearities in . Precisely, taking a cue from the linear problem, we sket…
Well-posedness of the Two-dimensional Nonlinear Schrödinger Equation with Concentrated Nonlinearity
Raffaele Carlone, Michele Correggi, Lorenzo Tentarelli
We consider a two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity. In both the focusing and defocusing case we prove local well-posedness, i.e., existence…