On the spectral theory of Gesztesy–Šeba realizations of 1-D Dirac operators with point interactions on a discrete set R Carlone, M Malamud, A Posilicano Journal of Differential Equations 254 (9), 3835-3902, 2013 | 74 | 2013 |
Nonlinear Dirac equation on graphs with localized nonlinearities: bound states and nonrelativistic limit W Borrelli, R Carlone, L Tentarelli SIAM Journal on Mathematical Analysis 51 (2), 1046-1081, 2019 | 37 | 2019 |
On the nonlinear Dirac equation on noncompact metric graphs W Borrelli, R Carlone, L Tentarelli Journal of Differential Equations 278, 326-357, 2021 | 25 | 2021 |
Well-posedness of the two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity R Carlone, M Correggi, L Tentarelli Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 (1), 257-294, 2019 | 25 | 2019 |
Ground states for the planar NLSE with a point defect as minimizers of the constrained energy R Adami, F Boni, R Carlone, L Tentarelli Calculus of Variations and Partial Differential Equations 61 (5), 195, 2022 | 23 | 2022 |
Spin-dependent point potentials in one and three dimensions C Cacciapuoti, R Carlone, R Figari Journal of Physics A: Mathematical and Theoretical 40 (2), 249, 2006 | 23 | 2006 |
Blow-up for the pointwise NLS in dimension two: absence of critical power R Adami, R Carlone, M Correggi, L Tentarelli arXiv preprint arXiv:1808.10343, 2018 | 22 | 2018 |
Decoherence induced by scattering: a three-dimensional model C Cacciapuoti, R Carlone, R Figari Journal of Physics A: Mathematical and General 38 (22), 4933, 2005 | 22 | 2005 |
The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions R Carlone, A Fiorenza, L Tentarelli Journal of Functional Analysis 273 (3), 1258-1294, 2017 | 21 | 2017 |
Stability of the standing waves of the concentrated NLSE in dimension two R Adami, R Carlone, M Correggi, L Tentarelli arXiv preprint arXiv:2001.03969, 2020 | 17 | 2020 |
An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity W Borrelli, R Carlone, L Tentarelli Symmetry 11 (2), 169, 2019 | 15 | 2019 |
A solvable model of a tracking chamber C Cacciapuoti, R Carlone, R Figari Reports on Mathematical Physics 59 (3), 337-350, 2007 | 15 | 2007 |
Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect R Adami, F Boni, R Carlone, L Tentarelli Journal of Mathematical Physics 63 (7), 2022 | 13 | 2022 |
Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one R Carlone, D Finco, L Tentarelli Nonlinearity 32 (8), 3112, 2019 | 12 | 2019 |
The One-Dimensional Dirac Equation With Concentrated Nonlinearity C Cacciapuoti, R Carlone, D Noja, A Posilicano SIAM Journal on Mathematical Analysis 49 (3), 2246-2268, 2017 | 12 | 2017 |
Two-dimensional time-dependent point interactions R Carlone, M Correggi, R Figari Functional Analysis and Operator Theory for Quantum Physics, EMS Series of …, 2016 | 12 | 2016 |
Dynamics of an electron confined to a “hybrid plane” and interacting with a magnetic field R Carlone, P Exner Reports on Mathematical Physics 67 (2), 211-227, 2011 | 12 | 2011 |
A Note on the Dirac Operator with Kirchoff-Type Vertex Conditions on Metric Graphs W Borrelli, R Carlone, L Tentarelli Mathematical Challenges of Zero-Range Physics: Models, Methods, Rigorous …, 2021 | 11 | 2021 |
The quantum beating and its numerical simulation R Carlone, R Figari, C Negulescu Journal of Mathematical Analysis and Applications, http://dx.doi.org/10.1016 …, 2016 | 11 | 2016 |
Resonances in models of spin-dependent point interactions C Cacciapuoti, R Carlone, R Figari Journal of Physics A: Mathematical and Theoretical 42 (3), 035202, 2008 | 11 | 2008 |