Multi-particle eigenvalue concentration bounds

Victor Chulaevsky, Yuri Suhov

Research output: Chapter in Book/Report/Conference proceedingChapter


In this chapter we begin our analysis of localization in multi-particle Anderson tight-binding models with interaction. We already mentioned that the principal difficulty encountered when working with multi-particle systems is the structure of the external random potential term (3.3) in the Hamiltonian combined with the presence of interaction between particles (see Eq. (3.8) below). To tackle this obstacle, we develop a multi-particle version of the MSA (in short, the MPMSA) by scrutinizing and—when necessary—modifying the subsequent steps of the single-particle MSA scheme.

Original languageEnglish (US)
Title of host publicationProgress in Mathematical Physics
PublisherBirkhauser Boston
Number of pages34
StatePublished - Jan 1 2014

Publication series

NameProgress in Mathematical Physics
ISSN (Print)1544-9998

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics


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