511 citations · 1.7k across the 69 of their papers we have counts for
Showing 2001 · math.SPShow all
3 papers · 2 filters
math.SP2001★ 1 cited
Dynamical upper bounds on wavepacket spreading
R. Killip, A. Kiselev, Y. Last
We derive a general upper bound on the spreading rate of wavepackets in the framework of Schrödinger time evolution. Our result consists of showing that a portion of the wavepacket…
math.SP2001★ 1 cited
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★ 7 cited
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…