99 citations · 574 across the 36 of their papers we have counts for
40 papers
A renormalized Lee Model: resolvent and spectral analysis
Claudio Cacciapuoti, Federica Muscolino, Diego Noja +1
We construct and analyze a renormalized three-dimensional massive Lee model; its renormalized Hamiltonian is defined intrinsically through an abstract construction which explicitly…
The Born-Oppenheimer approximation for a 1D 2+1 particle system with zero-range interactions
Claudio Cacciapuoti, Andrea Posilicano, Hamidreza Saberbaghi
We study the self-adjoint Hamiltonian that models the quantum dynamics of a one-dimensional (1D) three-body system consisting of a light particle interacting with two heavy ones th…
Failure of scattering for the NLSE with a point interaction in dimension two and three
C. Cacciapuoti, D. Finco, D. Noja
In this paper we consider the NLS equation with power nonlinearity and a point interaction (a "-potential" in the physical literature) in dimension two and three. We will show t…
Three-Body Hamiltonian with Regularized Zero-Range Interactions in Dimension Three
Giulia Basti, Claudio Cacciapuoti, Domenico Finco +1
We study the Hamiltonian for a system of three identical bosons in dimension three interacting via zero-range forces. In order to avoid the fall to the center phenomenon emerging i…
Well posedness of the nonlinear Schrödinger equation with isolated singularities
Claudio Cacciapuoti, Domenico Finco, Diego Noja
We study the well posedness of the nonlinear Schrödinger (NLS) equation with a point interaction and power nonlinearity in dimension two and three. Behind the autonomous interest o…
The semi-classical limit with a delta-prime potential
Claudio Cacciapuoti, Davide Fermi, Andrea Posilicano
We consider the quantum evolution of a Gaussian coherent state localized close to the classical state $ξ\e…