66 citations · 458 across the 52 of their papers we have counts for
34 papers · 1 filter
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…
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.…
Scattering theory with both regular and singular perturbations
Andrea Mantile, Andrea Posilicano
We provide an asymptotic completeness criterion and a representation formula for the scattering matrix of the scattering couple , where both and are self-adjoint…
Inverse wave scattering in the time domain for point scatterers
Andrea Mantile, Andrea Posilicano
Let be the bounded from above self-adjoint realization in of the Laplacian with point scatterers placed at $Y=\{y_{1},\dots,y_{n}\}\subset{\m…