This article is cited in 1 paper

Asymptotic completeness for short-range $N$-body systems revisited

Erik Skibsted

Aarhus Universitet, Institut for Matematik, Aarhus, Denmark

Abstract: We review Yafaev's approach to asymptotic completeness for systems of particles mutually interacting with short-range potentials. The resulting theory is based on computation of commutators with time-independent (mostly bounded) observables yielding a sufficient supply of Kato smoothness bounds.

Keywords: $N$-body Schrödinger operators, short-range scattering theory.

MSC: 81Q10, 35P05

Received: 01.11.2024
Revised: 10.01.2025
Accepted: 16.01.2025

DOI: 10.4213/faa4265

 English version: Functional Analysis and Its Applications, 2025, 59:3, 330–346

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