Radiation conditions and scattering theory for \(N\)-particle Hamiltonians (Q2367956)

This paper is devoted to a proof of asymptotic completeness for \(N\)- particle Hamiltonians with short-range potentials which fits into the theory of smooth perturbations. The analysis of the asymptotic completeness is based on new estimates which establish some type of radiation conditions for \(N\)-particle systems. In comparison with the limiting absorption principle the radiation conditions give an additional information on the asymptotic behaviour of a quantum system for large distances and large times.