64 citations · 377 across the 31 of their papers we have counts for
5 papers · 1 filter
A quantum hybrid with a thin antenna at the vertex of a wedge
R. Carlone, A. Posilicano
We study the spectrum, resonances and scattering matrix of a quantum hamiltonian on a "hybrid surface" consisting of a half-line attached by its endpoint to the vertex of a concave…
The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions
Raffaele Carlone, Alberto Fiorenza, Lorenzo Tentarelli
For kernels which are positive and integrable we show that the operator on a finite time interval enjoys a regularizing effect when applie…
The quantum beating and its numerical simulation
Raffaele Carlone, Rodolfo Figari, Claudia Negulescu
We examine the suppression of quantum beating in a one dimensional non- linear double well potential, made up of two focusing nonlinear point interactions. The investigation of the…
The 1-D Dirac equation with concentrated nonlinearity
Claudio Cacciapuoti, Raffaele Carlone, Diego Noja +1
We define and study the Cauchy problem for a 1-D nonlinear Dirac equation with nonlinearities concentrated at one point. Global well-posedness is provided and conservation laws for…
Two-dimensional Time-dependent Point Interactions
R. Carlone, M. Correggi, R. Figari
We study the time-evolution of a quantum particle subjected to time-dependent zero-range forces in two dimensions. After establishing a conceivable ansatz for the solution to the S…