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Multi-Scale Analysis for Random Quantum Systems With Interaction

Victor Chulaevsky, Yuri Suhov
Format
Book
Published
New York : Birkhäuser, [2013], c2014.
Language
English
Series
Progress in Mathematical Physics
ISBN
9781461482253 (hd.bd.), 1461482259 (hd.bd.), 9781461482260 (online)
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.
Description
ix, 238 p. : ill. ; 25 cm.
Notes
  • Textbook for graduates.
  • Includes bibliographical references and index.
Series Statement
Progress in mathematical physics ; v. 65
Progress in mathematical physics v. 65
Technical Details
  • Access in Virgo Classic
  • Staff View

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    a| 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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