Multi-Scale Analysis for Random Quantum Systems with Interaction
Language: English
Published by Springer New York, 2013
- Hardcover
- New
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- Title
- Multi-Scale Analysis for Random Quantum Systems with Interaction
- Author
- Victor Chulaevsky|Yuri Suhov
- Publisher
- Springer New York
- Publication year
- 2013
- Condition
- New
- Binding
- Gebunden
- Language
- English
- ISBN 10
- 1461482259
- ISBN 13
- 9781461482253
- Series
- Book 26 of 37: Progress in Mathematical Physics
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.
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About the Author
"About the title" may belong to another edition of this title.
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