Multi-scale analysis for random quantum systems with interaction
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 Analysi…
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- Full title :Multi-scale analysis for random quantum systems with interaction / Victor Chulaevsky ; Yuri Suhov.
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.
Read More ↓Edition Statements
- Publication Date:2013.
Publication Statements
- Publisher(s):Birkhäuser
- Place of Publication:New York
- Language:eng
- Publication Date:2013.
Notes
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.
The Physical Object
- Description:XI, 238 Seiten : : Diagramme
Edition Identifiers
- ISBN:9781461482253, 1461482259, 9781461482260, 1461482267
- oclc:ocn862830284
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