Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs
Author(s): Aizenman, Michael; Warzel, Simone
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http://arks.princeton.edu/ark:/88435/pr1jm8c| 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 non-perturbatively through rare fluctuation-enabled resonances. The main result is spelled in the title. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4714617] |
| Publication Date: | Sep-2012 |
| Citation: | Aizenman, Michael, Warzel, Simone. (2012). Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs. JOURNAL OF MATHEMATICAL PHYSICS, 53 (10.1063/1.4714617 |
| DOI: | doi:10.1063/1.4714617 |
| ISSN: | 0022-2488 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | JOURNAL OF MATHEMATICAL PHYSICS |
| Version: | Author's manuscript |
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