1201.6247 (Mostafa Sabri)
Mostafa Sabri
We prove strong dynamical localization near the lower edge of the spectrum
for a multi-particle quantum graph with random potential. To this end, we adapt
the multi-particle multi-scale analysis to the quantum graph setting. 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 can be proven under a weaker
assumption on the random potential than previously known.
View original:
http://arxiv.org/abs/1201.6247
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