- 04-211 David Damanik and Serguei Tcheremchantsev
- Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading
Jul 12, 04
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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.