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arXiv · 1201.6247

Anderson Localization for a Multi-Particle Quantum Graph

Mostafa Sabri
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Abstract

We study a multi-particle quantum graph with random potential. Taking the approach of multiscale analysis we prove exponential and strong dynamical localization of any order in the Hilbert-Schmidt norm near the spectral edge. Apart from the results on multi-particle systems, we also prove Lifshitz-type asymptotics for single-particle systems. This shows in particular that localization for single-particle quantum graphs holds under a weaker assumption on the random potential than previously known.

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Mostafa Sabri. 2012-01-30. Anderson Localization for a Multi-Particle Quantum Graph. https://doi.org/10.1142/s0129055x13500207

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