Erschienen: 20.09.2013 Abbildung von Chulaevsky / Suhov | Multi-scale Analysis for Random Quantum Systems with Interaction | 2013 | 65

Chulaevsky / Suhov

Multi-scale Analysis for Random Quantum Systems with Interaction

lieferbar (3-5 Tage)

ca. 90,94 €

inkl. Mwst.

2013. Buch. XI, 238 S. 5 s/w-Abbildungen, Bibliographien. Hardcover

Birkhäuser. ISBN 978-1-4614-8225-3

Format (B x L): 15,5 x 23,5 cm

Gewicht: 543 g

In englischer Sprache

Das Werk ist Teil der Reihe: Progress in Mathematical Physics; 65


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-particle localization theory * an extensive discussion of relevant technical aspects of the localization theory * a thorough comparison of the multi-particle model with its single-particle counterpart * a self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model.   Required mathematical background for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probability theory. This is an excellent text for a year-long graduate course or seminar in mathematical physics. It also can serve as a standard reference for specialists.


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