Spectral and scattering theory for 3-particle Hamiltonian with Stark effect: Asymptotic completeness (Q1199260)

The author proves asymptotic completeness of three-particle systems in a constant electric field. The pair potentials of interaction are assumed to decay at infinity like \(| x|^{-\rho}\) with \(\rho>1\) or \(\rho>1/2\), depending if there exists a two-particle subsystem having a zero energy resonance, or not. The proof is based on Mourre commutator method and propagation estimates.