Commutators of Schrödinger Hamiltonians and applications in scattering theory (Q912295)

The authors give results on the behaviour at infinity of commutators of the form [\(\phi\) (H),f(Q)], where H is a Schrödinger operator and Q denotes the position operator in \(L^ 2(R^ n)\). These results are applied to obtain propagation properties and asymptotic completeness below the three-body threshold for N-body system.