66 citations · 458 across the 52 of their papers we have counts for
54 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…
Resolvent, spectrum and resonances for the acoustic operator with piecewise constant coefficients
Andrea Mantile, Andrea Posilicano
We study the acoustic operator with transmission conditions at the boundary of , where the 's are co…
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…
Body resonances for classical waves
Andrea Mantile, Andrea Posilicano
We provide a detailed study of the spectral properties of the linear operator modeling, through the…
The point scatterer approximation for wave dynamics
Andrea Mantile, Andrea Posilicano
Given an open, bounded and connected set and its rescaling of size , we consider the solutions of the Cauchy problem fo…
On the resolvent of
Andrea Posilicano
We present a much shorter and streamlined proof of an improved version of the results previously given in [A. Posilicano: On the Self-Adjointness of , Math. Phys. Anal.…