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math.SP1997★ 13 cited
Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: some optimal results
Michael Christ, Alexander Kiselev
The absolutely continuous spectrum of one-dimensional Schrödinger operators is proved to be stable under perturbation by potentials satisfying mild decay conditions. In particular,…
math.SP1997
Absolutely continuous spectrum of perturbed Stark operators
Alexander Kiselev
We prove new results on the stability of the absolutely continuous spectrum for perturbed Stark operators with decaying or satisfying certain smoothness assumption perturbation. We…