Dynamical Lower Bounds for 1D Dirac Operators
Mathematical Physics
2007-08-08 v1 Functional Analysis
math.MP
Abstract
Quantum dynamical lower bounds for continuous and discrete one-dimensional Dirac operators are established in terms of transfer matrices. Then such results are applied to various models, including the Bernoulli-Dirac one and, in contrast to the discrete case, critical energies are also found for the continuous Dirac case with positive mass.
Cite
@article{arxiv.0708.0926,
title = {Dynamical Lower Bounds for 1D Dirac Operators},
author = {Roberto A. Prado and Cesar R. de Oliveira},
journal= {arXiv preprint arXiv:0708.0926},
year = {2007}
}
Comments
18 pages; to appear in Math. Z