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Multi-scale Analysis for Random Quantum Systems with Interaction (Paperback, Softcover reprint of the original 1st ed. 2014) Loot Price: R2,627
Discovery Miles 26 270
Multi-scale Analysis for Random Quantum Systems with Interaction (Paperback, Softcover reprint of the original 1st ed. 2014):...

Multi-scale Analysis for Random Quantum Systems with Interaction (Paperback, Softcover reprint of the original 1st ed. 2014)

Victor Chulaevsky, Yuri Suhov

Series: Progress in Mathematical Physics, 65

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Loot Price R2,627 Discovery Miles 26 270 | Repayment Terms: R246 pm x 12*

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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 theory an extensive discussion of relevant technical aspects of the localization theory a thorough comparison of the multi-particle model with its single-particle counterpart a 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.

General

Imprint: Birkhauser Boston
Country of origin: United States
Series: Progress in Mathematical Physics, 65
Release date: August 2016
First published: 2014
Authors: Victor Chulaevsky • Yuri Suhov
Dimensions: 235 x 155 x 13mm (L x W x T)
Format: Paperback
Pages: 238
Edition: Softcover reprint of the original 1st ed. 2014
ISBN-13: 978-1-4939-3952-7
Categories: Books > Science & Mathematics > Mathematics > Probability & statistics
Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Chemistry > Analytical chemistry > Qualitative analytical chemistry > Chemical spectroscopy, spectrochemistry > General
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LSN: 1-4939-3952-1
Barcode: 9781493939527

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