Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs
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 (ac) spectrum occurs nonperturbatively through rare fluctuationenabled resonances. The main result is spelled in the title.
 Authors:

 Departments of Physics and Mathematics, Princeton University, Princeton, New Jersey 08544 (United States)
 Zentrum Mathematik, TU Munich, Boltzmannstr. 3, 85747 Garching (Germany)
 Publication Date:
 OSTI Identifier:
 22093718
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Mathematical Physics
 Additional Journal Information:
 Journal Volume: 53; Journal Issue: 9; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 00222488
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FLUCTUATIONS; GRAPH THEORY; PARTICLES; QUANTUM MECHANICS; RANDOMNESS; RESONANCE; SCHROEDINGER EQUATION; SPECTRA
Citation Formats
Aizenman, Michael, and Warzel, Simone. Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs. United States: N. p., 2012.
Web. doi:10.1063/1.4714617.
Aizenman, Michael, & Warzel, Simone. Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs. United States. doi:10.1063/1.4714617.
Aizenman, Michael, and Warzel, Simone. Sat .
"Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs". United States. doi:10.1063/1.4714617.
@article{osti_22093718,
title = {Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs},
author = {Aizenman, Michael and Warzel, Simone},
abstractNote = {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 (ac) spectrum occurs nonperturbatively through rare fluctuationenabled resonances. The main result is spelled in the title.},
doi = {10.1063/1.4714617},
journal = {Journal of Mathematical Physics},
issn = {00222488},
number = 9,
volume = 53,
place = {United States},
year = {2012},
month = {9}
}
DOI: 10.1063/1.4714617
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