17 citations · 26 across the 6 of their papers we have counts for
5 papers · 1 filter
Spectral Properties of Schrödinger Operators with Decaying Potentials
Sergey A. Denisov, Alexander Kiselev
We review recent advances in the spectral theory of Schrödinger operators with decaying potentials. The area has seen spectacular progress in the past few years, stimulated by seve…
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…
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…
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…
Solutions, Spectrum, and Dynamica for Schrödinger Operators on Infinite Domains
Alexander Kiselev, Yoram Last
Let H be a Schrödinger operator defined on an unbounded domain D in R^d with Dirichlet boundary conditions (D may equal R^d in particular). Let u(x,E) be a solution of the Schrödin…