Publications [#330314] of Alexander A. Kiselev

Papers Published

1. Christ, M; Kiselev, A, Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials, Geometric and Functional Analysis, vol. 12 no. 6 (January, 2002), pp. 1174-1234, Springer Nature [doi]
   (last updated on 2026/01/15)

   Abstract:
   We prove existence of modified wave operators for one-dimensional Schrödinger equations with potential in L^P(ℝ). p < 2. If in addition the potential is conditionally integrable, then the usual Möller wave operators exist. We also prove asymptotic completeness of these wave operators for some classes of random potentials, and for almost every boundary condition for any given potential.