Single-particle MSA techniques

Victor Chulaevsky, Yuri Suhov

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Chapter 2 prepares the ground for the analysis of interacting particle systems carried out in Part II. The authors introduce here the principal technical tools of the single-particle multi-scale analysis (MSA), developed over the last thirty years by the mathematical community. The analytical tools of the so-called variable-energy MSA, developed in late 1980s, are streamlined and complemented by a simpler, fixed-energy approach. A simple and comprehensive derivation of the spectral and strong dynamical localization from the fixed-energy MSA, suitable for adaptations to interacting systems, is presented for the first time in mathematical literature.

Original languageEnglish (US)
Title of host publicationProgress in Mathematical Physics
PublisherBirkhauser Boston
Pages27-133
Number of pages107
DOIs
Publication statusPublished - Jan 1 2014

Publication series

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

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All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics

Cite this

Chulaevsky, V., & Suhov, Y. (2014). Single-particle MSA techniques. In Progress in Mathematical Physics (pp. 27-133). (Progress in Mathematical Physics; Vol. 65). Birkhauser Boston. https://doi.org/10.1007/978-1-4614-8226-0_2