Long-range scattering of two- and three-body quantum systems. (English) Zbl 0734.35069

Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1989, 1-31 (1989).
Author’s summary: For two- and three-particle Schrödinger operators we give an elementary and essentially self-contained proof for existence and completeness of the Dollard wave operators. The gradient of the long- range part of the pair potentials has to decay like \((1+| x|)^{-\delta}\), \(\delta >\sqrt{3}\) as \(| x| \to \infty\). No implicit conditions are needed.
Reviewer: V.Bach (Zürich)


35P25 Scattering theory for PDEs
81U10 \(n\)-body potential quantum scattering theory
47A40 Scattering theory of linear operators
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