书目名称 | Multi-scale Analysis for Random Quantum Systems with Interaction |
编辑 | Victor Chulaevsky,Yuri Suhov |
视频video | |
概述 | Introduces the reader to recent progress in this field.Attracts attention to possible directions for future research.Presents new and exciting research the first time in the literature and includes al |
丛书名称 | Progress in Mathematical Physics |
图书封面 |  |
描述 | .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 Z.d.. . .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 si |
出版日期 | Textbook 2014 |
关键词 | Anderson localization; Stolmann’s estimate; Wegner’s estimate; delocalization; dynamical localization; mu |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-8226-0 |
isbn_softcover | 978-1-4939-3952-7 |
isbn_ebook | 978-1-4614-8226-0Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
issn_series | 1544-9998 |
copyright | Springer Science+Business Media New York 2014 |