Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs
Mathematical Physics
2013-01-21 v2 math.MP
Abstract
We discuss the dynamical implications of the recent proof that for a quantum particle in a random potential on a regular tree graph absolutely continuous spectrum occurs non-perturbatively through rare fluctuation-enabled resonances. The main result is spelled in the title.
Keywords
Cite
@article{arxiv.1202.3642,
title = {Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs},
author = {Michael Aizenman and Simone Warzel},
journal= {arXiv preprint arXiv:1202.3642},
year = {2013}
}
Comments
Corrected version