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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-ph2024
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…
math-ph2024
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.…