Abstract:
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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 5 June 2002 / Accepted: 20 January 2003 Published online: 28 March 2003
RID="⋆"
ID="⋆" D.D. was supported in part by NSF Grant No. DMS–0227289
Communicated by M. Aizenman
Rights and permissions
About this article
Cite this article
Damanik, D., Tcheremchantsev, S. Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension. Commun. Math. Phys. 236, 513–534 (2003). https://doi.org/10.1007/s00220-003-0824-6
Issue Date:
DOI: https://doi.org/10.1007/s00220-003-0824-6