Multi-scale Analysis for Random Quantum Systems with Interaction

種類:

電子ブック

責任表示:

by Victor Chulaevsky, Yuri Suhov

出版情報:

New York, NY : Springer New York : Imprint: Birkhäuser, 2014

著者名:

• Chulaevsky, Victor
• Suhov, Yuri
• SpringerLink (Online service)

シリーズ名:

Progress in Mathematical Physics ; 65

ISBN:

9781461482260 [1461482267]    

注記:

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-par

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