Skibsted, Erik Smoothness of \(N\)-body scattering amplitudes. (English) Zbl 0781.35047 Rev. Math. Phys. 4, No. 4, 619-658 (1992). The author establishes the smoothness of the 2-cluster – 2-cluster and 2-cluster – \(N\)-cluster scattering amplitudes under some general short range conditions on the potential and under a discreteness assumption on the channel energies. The proofs are based on strong bounds on the resolvent by using so called “channel localization operators”. Reviewer: V.Petkov (Bordeaux) Cited in 13 Documents MSC: 35P25 Scattering theory for PDEs 81U10 \(n\)-body potential quantum scattering theory Keywords:smoothness; scattering amplitudes; short range conditions on the potential; discreteness assumption on the channel energies PDF BibTeX XML Cite \textit{E. Skibsted}, Rev. Math. Phys. 4, No. 4, 619--658 (1992; Zbl 0781.35047) Full Text: DOI OpenURL