The integrated density of states for an interacting multiparticle homogeneous model and applications to the Anderson model
type: Item
instance of: scholarly article
title: The integrated density of states for an interacting multiparticle homogeneous model and applications to the Anderson model
zbMATH Open document ID: 1203.82063
DOI: 10.1155/2009/679827
author: Frédéric Klopp
author: Heribert Zenk
published in: Advances in Mathematical Physics
publication date: 2010-11-16T00:00:00Z
full work available at URL: https://eudml.org/doc/233554
review text: Summary: For a system of \(n\) interacting particles moving in the background of a ``homogeneous'' potential, we show that if the single particle Hamiltonian admits a density of states, so does the interacting \(n\)-particle Hamiltonian. Moreover, this integrated density of states coincides with that of the free particle Hamiltonian. For the interacting \(n\)-particle Anderson model, we prove regularity properties of the integrated density of states by establishing a Wegner estimate.
Mathematics Subject Classification ID: 82C22
Mathematics Subject Classification ID: 82B44
zbMATH DE Number: 5816343
zbMATH Keywords: Anderson model
zbMATH Keywords: interacting particles
MaRDI profile type: Publication
Wikidata QID: Q58646978
OpenAlex ID: W2132614875
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description: scientific article; zbMATH DE number 5816343