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
StatePublished - Jan 1 2014

Publication series

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

Fingerprint

energy
derivation

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

Single-particle MSA techniques. / Chulaevsky, Victor; Suhov, Yuri.

Progress in Mathematical Physics. Birkhauser Boston, 2014. p. 27-133 (Progress in Mathematical Physics; Vol. 65).

Research output: Chapter in Book/Report/Conference proceedingChapter

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