Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs
Journal Article
·
· Journal of Mathematical Physics
- Departments of Physics and Mathematics, Princeton University, Princeton, New Jersey 08544 (United States)
- Zentrum Mathematik, TU Munich, Boltzmannstr. 3, 85747 Garching (Germany)
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.
- OSTI ID:
- 22093718
- Journal Information:
- Journal of Mathematical Physics, Vol. 53, Issue 9; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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