Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension
- Cite this article as:
- Damanik, D. & Tcheremchantsev, S. Commun. Math. Phys. (2003) 236: 513. doi:10.1007/s00220-003-0824-6
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We present an approach to quantum dynamical lower bounds for discrete one-dimensional Schrödinger operators which is based on power-law bounds on transfer matrices. It suffices to have such bounds for a nonempty set of energies. We apply this result to various models, including the Fibonacci Hamiltonian.