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Wegner-type bounds for a multi-particle continuous Anderson model with an alloy-type external potential

  • A. Boutet de Monvel
  • , V. Chulaevsky
  • , P. Stollmann
  • , Y. Suhov

Research output: Contribution to journalArticlepeer-review

Abstract

We consider an N-particle quantum systems in ℝd, with interaction and in presence of a random external alloy-type potential (a continuous N-particle Anderson model). We establish Wegner-type bounds (inequalities) for such models, giving upper bounds for the probability that random spectra of Hamiltonians in finite volumes intersect a given set.

Original languageEnglish (US)
Pages (from-to)553-566
Number of pages14
JournalJournal of Statistical Physics
Volume138
Issue number4
DOIs
StatePublished - Feb 2010

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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