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math.SP2001
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
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…