A. Posilicano

most citedThe Born-Oppenheimer approximation for a 1D 2+1 particle system with zero-range interactions

1 citations · 1 across the 1 of their papers we have counts for

collaborators

4 papers

math-ph2026★ 1 cited

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…

math.AP2026

Resolvent, spectrum and resonances for the acoustic operator with piecewise constant coefficients

Andrea Mantile, Andrea Posilicano

We study the acoustic operator $A_{v, I ¨ } := v^{2} I ¨ \nabla \cdot I ¨ ^{- 1} \nabla$ with transmission conditions at the boundary of $I^c ◯ = I^c ◯_{1} \cup \dots \cup I^c ◯_{n}$ , where the $I^c ◯_{ℓ}$ 's…

math-ph2024

The point scatterer approximation for wave dynamics

Andrea Mantile, Andrea Posilicano

Given an open, bounded and connected set $I^c ◯ \subset R^{3}$ and its rescaling $I^c ◯_{ε}$ of size $ε ≪ 1$ , we consider the solutions of the Cauchy problem…

math.SP2024

Body resonances for classical waves

Andrea Mantile, Andrea Posilicano

We provide a detailed study of the spectral properties of the linear operator $H (ε) = - (ε^{2} I ¨ _{I^c ◯_{ε}} + I ¨ _{I^c ◯_{ε}^{c}}) I^$ modeling, through…