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

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Abstract

We consider an N-particle quantum systems in ℝ d , 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

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