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math.SP2001
Absolutely continuous spectrum of Stark operators
M. Christ, A. Kiselev
We prove several new results on the absolutely continuous spectra of perturbed one-dimensional Stark operators. First, we find new classes of perturbations, characterized mainly by…
math.SP2001
Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials
M. Christ, A. Kiselev
We prove existence of modified wave operators for one-dimensional Schrödinger equations with potential in , . If in addition the potential is conditionally integr…