Anderson localization for a multi-particle quantum graph

Mostafa Sabri

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number1350020
JournalReviews in Mathematical Physics
Issue number1
StatePublished - Feb 2014


  • Anderson localization
  • multi-particle
  • quantum graphs
  • random operators

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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