4 papers · 1 filter
The essential spectrum of Schrodinger, Jacobi, and CMV operators
Yoram Last, Barry Simon
We provide a very general result that identifies the essential spectrum of broad classes of operators as exactly equal to the closure of the union of the spectra of suitable limits…
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…
Stability of Singular Spectral Types under Decaying Perturbations
A. Kiselev, Y. Last, B. Simon
We look at invariance of a.e. boundary condition spectral behavior under perturbations, , of half-line, continuum or discrete Schrödinger operators. We extend the results of del…
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…