| Document Type
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BL
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| Record Number
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644094
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| Doc. No
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dltt
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| Main Entry
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Chulaevskiĭ, V. A.
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| Title & Author
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Multi-scale analysis for random quantum systems with interaction /\ Victor Chulaevsky, Yuri Suhov
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| Series Statement
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Progress in Mathematical Physics,; volume 65
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| Page. NO
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1 online resource (xi, 238 pages) :: illustrations.
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| ISBN
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1461482267 (electronic bk.)
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: 9781461482260 (electronic bk.)
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9781461482253
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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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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| Abstract
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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
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| Subject
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Multiscale modeling.
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Applications of Mathematics.
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Functional Analysis.
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Mathematical Methods in Physics.
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Probability Theory and Stochastic Processes.
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| Dewey Classification
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515.7
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| LC Classification
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TA342
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| Added Entry
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Suhov, Yu. M.
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| Added Entry
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Ohio Library and Information Network.
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