Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians

2013/11/17 by Klein, Abel, Nguyen, Son
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1311.4220

Abstract

We extend the bootstrap multiscale analysis developed by Germinet and Klein to the multi-particle continuous Anderson Hamiltonian, obtaining Anderson localization with finite multiplicity of eigenvalues, decay of eigenfunction correlations, and a strong form of dynamical localization.

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