64 citations · 377 across the 31 of their papers we have counts for
4 papers · 2 filters
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 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…