Long-range scattering of three-body quantum systems. II (Q1400812)

In continuation of Part I [Invent. Math. 151, No. 1, 65--99 (2003; Zbl 0866.70008)] the author proves the asymptotic completeness of 3-body quantum systems with pair interaction potentials decaying like \(O(|x|^ {-\mu})\) in the regime ``\(\mu\in(0,\tfrac 12)\)'' . Two different classes of potentials are considered: 1) One-dimensional potentials with a negative upper bound near infinity, and 2) Any dimensional potentials with a positive lower bound near infinity.