Asymptotic completeness of 𝑁-particle long-range scattering

Abstract

We prove asymptotic completeness for N N -particle long-range system with potentials vanishing as O ( | x | − μ ) O({\left | x \right |^{ - \mu }}) , where μ ≥ 1 − 2 − N − 2 \mu \geq 1 - {2^{ - N - 2}} , at infinity.