Multi-scale Analysis for Random Quantum Systems with Interaction

Multi-scale Analysis for Random Quantum Systems with Interaction

http://www.kingcheapebooks.com/2014/10/multi-scale-analysis-for-random-quantum.htmlMulti-scale Analysis for Random Quantum Systems with Interaction (Progress in Mathematical Physics) by Victor Chulaevsky and Yuri Suhov
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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