The three-quasi-particle scattering problem: asymptotic completeness for short-range systems

TL;DR

This paper develops a scattering theory approach for three quasi-particle systems, proving asymptotic completeness for a broad class of short-range interactions in N-body systems.

Contribution

It introduces a new method to establish asymptotic completeness for three quasi-particle systems within generalized N-body scattering theory.

Findings

Proves asymptotic completeness for three quasi-particle short-range systems

Develops a generalized approach applicable to N-body scattering

Advances understanding of multi-particle quantum scattering processes

Abstract

We develop an approach to scattering theory for generalized $N$-body systems. In particular we consider a general class of three quasi-particle systems, for which we prove Asymptotic Completeness.