Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading

Details Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading

2004-07-09

arxiv.org/abs/math-ph/0407017v1

Physics

Mathematical Physics

23 pages

Scientific paper

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.

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