64 citations · 377 across the 31 of their papers we have counts for
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On the nonlinear Dirac equation on noncompact metric graphs
William Borrelli, Raffaele Carlone, Lorenzo Tentarelli
The paper discusses the Nonlinear Dirac Equation with Kerr-type nonlinearity (i.e., ) on noncompact metric graphs with a finite number of edges, in the case of Kirchhoff-…
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 note on the Dirac operator with Kirchoff-type vertex conditions on noncompact metric graphs
William Borrelli, Raffaele Carlone, Lorenzo Tentarelli
In this note we present some properties of the Dirac operator on noncompact metric graphs with Kirchoff-type vertex conditions. In particular, we discuss the specific features of t…
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…
An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity
William Borrelli, Raffaele Carlone, Lorenzo Tentarelli
We present a brief overview on the existence/nonexistence of standing waves for the NonLinear Schrödinger and the NonLinear Dirac Equations (NLSE/NLDE) on metric graphs with locali…