R. Carlone

activity

20062024

most citedOn the spectral theory of Gesztesy-Šeba realizations of 1-D Dirac operators with point interactions on a discrete set

64 citations · 377 across the 31 of their papers we have counts for

collaborators

Showing 2018 · math-phShow all

2 papers · 2 filters

math-ph2018★ 9 cited

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 $ \partial_{t} ψ = (- △)^{s} ψ$ , with $s \in (\frac{1}{2}, 1]$ …

math-ph2018★ 2 cited

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 $R^{2}$ . Precisely, taking a cue from the linear problem, we sket…