Long range scattering with Stark effect and almost periodic potentials (Q1186346)

Summary: Spectral and scattering theory is discussed for the Stark effect Hamiltonians \(H_ 0=-(1/2)\Delta-x_ 1\) and \(H=H_ 0+V\) where \(V\) is a long range perturbation. Most significantly, in one dimension, and for \(V\) consisting of a slowly decaying term and an almost periodic term, the two Hilbert space wave operators [of \textit{H. Isozaki} and \textit{H. Kitida}, J. Fac. Sci., Univ. Tokyo, Sect. IA 32, 77-104 (1985; Zbl 0582.35036)] are shown to exist and be complete by Enss's time dependent method.