04-211 David Damanik and Serguei Tcheremchantsev
Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading (63K, LaTeX) Jul 12, 04
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We establish quantum dynamical lower bounds for discrete one-dimensional Schr\"odinger operators in situations where, in addition to power-law upper bounds on solutions corresponding to energies in the spectrum, one also has lower bounds following a scaling law. As a consequence, we obtain improved dynamical results for the Fibonacci Hamiltonian and related models.

Files: 04-211.src( 04-211.keywords , Damanik_Tcheremchanstev.TEX )