Multi-particle eigenvalue concentration bounds

Victor Chulaevsky, Yuri Suhov

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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
Pages137-170
Number of pages34
DOIs
StatePublished - Jan 1 2014

Publication series

NameProgress in Mathematical Physics
Volume65
ISSN (Print)1544-9998

Fingerprint

eigenvalues
interactions

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics

Cite this

Chulaevsky, V., & Suhov, Y. (2014). Multi-particle eigenvalue concentration bounds. In Progress in Mathematical Physics (pp. 137-170). (Progress in Mathematical Physics; Vol. 65). Birkhauser Boston. https://doi.org/10.1007/978-1-4614-8226-0_3
Chulaevsky, Victor ; Suhov, Yuri. / Multi-particle eigenvalue concentration bounds. Progress in Mathematical Physics. Birkhauser Boston, 2014. pp. 137-170 (Progress in Mathematical Physics).
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Chulaevsky, V & Suhov, Y 2014, Multi-particle eigenvalue concentration bounds. in Progress in Mathematical Physics. Progress in Mathematical Physics, vol. 65, Birkhauser Boston, pp. 137-170. https://doi.org/10.1007/978-1-4614-8226-0_3

Multi-particle eigenvalue concentration bounds. / Chulaevsky, Victor; Suhov, Yuri.

Progress in Mathematical Physics. Birkhauser Boston, 2014. p. 137-170 (Progress in Mathematical Physics; Vol. 65).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Chulaevsky V, Suhov Y. Multi-particle eigenvalue concentration bounds. In Progress in Mathematical Physics. Birkhauser Boston. 2014. p. 137-170. (Progress in Mathematical Physics). https://doi.org/10.1007/978-1-4614-8226-0_3