Uniform dynamical bounds for the Fibonacci Hamiltonian

Details Uniform dynamical bounds for the Fibonacci Hamiltonian Uniform dynamical bounds for the Fibonacci Hamiltonian

2001-12-08

arxiv.org/abs/math-ph/0112013v1

Physics

Mathematical Physics

8 pages

Scientific paper

We prove quantum dynamical upper bounds for operators from the Fibonacci
hull. These bounds hold for sufficiently large coupling and they are uniform in
the phase. This extends recent work by Killip, Kiselev and Last who obtained
these bounds for one particular phase. The main ingredient in our proof is a
detailed combinatorial analysis of the sequences in the Fibonacci hull.

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