Smoothness of \(N\)-body scattering amplitudes. (English) Zbl 0781.35047

Skibsted, Erik

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)

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