Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension

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.

Data and Resources

Additional Info

Field Value
Source ISSN: 0010-3616
Author Damanik, David, Tcheremchantsev, Serguei
Maintainer CCSD
Last Updated May 12, 2026, 00:12 (UTC)
Created May 12, 2026, 00:12 (UTC)
Identifier hal-00080559
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Department of Mathematics 253-37 ; California Institute of Technology (CALTECH)
creator Damanik, David
date 2003-05-12T00:00:00
harvest_object_id be83f3b6-9a63-4f96-94be-9a7b346ed305
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-07-16T00:00:00
set_spec type:ART