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raffaele carlone
raffaele carlone
Dipartimento di Matematica ed Applicazioni "R. Caccioppoli", Università degli Studi di Napoli
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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
742013
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
372019
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
252022
On the nonlinear Dirac equation on noncompact metric graphs
W Borrelli, R Carlone, L Tentarelli
Journal of Differential Equations 278, 326-357, 2021
252021
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
252019
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
232006
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
222018
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
222005
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
212017
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
172020
A solvable model of a tracking chamber
C Cacciapuoti, R Carlone, R Figari
Reports on Mathematical Physics 59 (3), 337-350, 2007
162007
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
152019
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
142022
Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one
R Carlone, D Finco, L Tentarelli
Nonlinearity 32 (8), 3112, 2019
122019
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
122017
Two-dimensional time-dependent point interactions
R Carlone, M Correggi, R Figari
Functional Analysis and Operator Theory for Quantum Physics, EMS Series of …, 2016
122016
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
122011
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
112021
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
112016
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
112008
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