Multi-scale analysis for random quantum systems with interaction [electronic resource] / Victor Chulaevsky, Yuri Suhov.
Chulaevskiĭ, V. A., author.; Suhov, Yu. M., author.
2013
TA342
Available Online

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Title Multi-scale analysis for random quantum systems with interaction [electronic resource] / Victor Chulaevsky, Yuri Suhov.
Author Chulaevskiĭ, V. A., author.
ISBN 9781461482260 electronic book
1461482267 electronic book
9781461482253
DOI https://doi.org/10.1007/978-1-4614-8226-0
Published New York, NY : Birkhäuser, [2013?]
Copyright ©2014
Language English
Description 1 online resource (xi, 238 pages) : illustrations.
Item Number 10.1007/978-1-4614-8226-0 doi
Call Number TA342
Dewey Decimal Classification 515.7
Summary The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction presents the progress that had been recently achieved in this area. The main focus of the book is on a rigorous derivation of the multi-particle localization in a strong random external potential field. To make the presentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on online resource; title from PDF title page (SpringerLink, viewed September 24, 2013).
Added Author Suhov, Yu. M., author.
Series Progress in mathematical physics ; v.65.
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Record Appears in Online Resources > Ebooks
All Resources
Single-particle Localisation
A Brief History of Anderson Localization.- Single-Particle MSA Techniques
Multi-particle Localization
Multi-particle Eigenvalue Concentration Bounds
Multi-particle MSA Techniques.

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