Abstract

We prove the asymptotic completeness for three-body Schrodinger operators with short-range pair interactions. In the remarkable work by Sigal-Soffer, the problem of asymptotic completeness has been already studied for general N-body systems with short-range interactions. The proof there is based on intuitive and beautiful ideas but some of its technical details seems to be quite complicated. The present work is the outcome of the author's efforts in trying to make the original proof as transparent as possible in the case of three-body systems

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