Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs

Details Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs

2012-02-16

arxiv.org/abs/1202.3642v1

Physics

Mathematical Physics

Scientific paper

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.

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