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math-ph2012★ 2 cited
Some abstract Wegner estimates with applications
Mostafa Sabri
We prove some abstract Wegner bounds for random self-adjoint operators. Applications include elementary proofs of Wegner estimates for discrete and continuous Anderson Hamiltonians…
math-ph2012★ 2 cited
Anderson Localization for a Multi-Particle Quantum Graph
Mostafa Sabri
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…