Multi-scale analysis for random quantum systems with interaction [electronic resource] / Victor Chulaevsky, Yuri Suhov.

9781461482260 electronic book
1461482267 electronic book
9781461482253

New York, NY : Birkhäuser, [2013?]

©2014

English

1 online resource (xi, 238 pages) : illustrations.

10.1007/978-1-4614-8226-0 doi

TA342

515.7

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.

Includes bibliographical references and index.

Access limited to authorized users.

Description based on online resource; title from PDF title page (SpringerLink, viewed September 24, 2013).

Progress in mathematical physics ; v.65.

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