Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension
classification
🧮 math-ph
math.MP
keywords
boundsmatricespower-lawquantumtransferapplyapproachdimension
read the original abstract
We present an approach to quantum dynamical lower bounds for discrete one-dimensional Schr\"odinger 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.