Localization on a quantum graph with a random potential on the edges

Details Localization on a quantum graph with a random potential on the edges Localization on a quantum graph with a random potential on the edges

2006-12-29

arxiv.org/abs/math-ph/0612087v1

Physics

Mathematical Physics

LaTeX2e, 18 pages

Scientific paper

10.1142/S0129055X07003140

We prove spectral and dynamical localization on a cubic-lattice quantum graph
with a random potential. We use multiscale analysis and show how to obtain the
necessary estimates in analogy to the well-studied case of random Schroedinger
operators.

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