Description |
1 online resource (xi, 238 pages) : illustrations |
Series |
Progress in Mathematical Physics, 1544-9998 ; volume 65 |
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Progress in mathematical physics ; v. 65.
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Contents |
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 |
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 |
Analysis |
wiskunde |
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mathematics |
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waarschijnlijkheidstheorie |
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probability theory |
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stochastische processen |
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stochastic processes |
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functionaalanalyse |
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functional analysis |
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fysica |
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physics |
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toegepaste wiskunde |
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applied mathematics |
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biofysica |
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biophysics |
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spectroscopie |
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spectroscopy |
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microscopie |
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microscopy |
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Mathematics (General) |
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Wiskunde (algemeen) |
Bibliography |
Includes bibliographical references and index |
Notes |
Online resource; title from PDF title page (SpringerLink, viewed September 24, 2013) |
Subject |
Multiscale modeling.
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Multiscale modeling
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Form |
Electronic book
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Author |
Suhov, Yu. M., author.
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ISBN |
9781461482260 |
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1461482267 |
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