Multi-scale Analysis for Random Quantum Systems with Interaction

Language: English

Published by Birkhäuser, Springer Aug 2016, 2016

1493939521 / 9781493939527

Series: Book 26 of 37 - Progress in Mathematical Physics

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This item is printed on demand - Print on Demand Titel. Neuware -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.This book includes the following cutting-edge features:an introduction to the state-of-the-art single-particle localization theoryan extensive discussion of relevant technical aspects of the localization theorya thorough comparison of the multi-particle model with its single-particle counterparta self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model.Required mathematical background for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probability theory. This is an excellent text for a year-long graduate course or seminar in mathematical physics. It also can serve as a standard reference for specialists.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 252 pp. Englisch.

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Title
Multi-scale Analysis for Random Quantum Systems with Interaction
Author
Victor Chulaevsky
Publisher
Birkhäuser, Springer Aug 2016
Publication year
2016
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1493939521
ISBN 13
9781493939527
Item weight
388 grams
Dimensions
235x155x14 mm
Series
Book 26 of 37: Progress in Mathematical Physics

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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