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Multi-scale Analysis for Random Quantum Systems with Interaction

Autor: Yuri Suhov

Limbă:

Legare: Carte broșată

Editura: Birkhauser Boston Inc

Disponibilitate: În depozitul extern în cantități mici

Expediem în 13-18 zile

375.11 lei

The study of quantum disorder has generated considerable research activity in mathematics and physic...

Informații despre carte

Autor

Yuri Suhov

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

238

EAN

9781493939527

ISBN

1493939521

Enbook ID

13786241

Editura

Birkhauser Boston Inc

Greutate

3869

Dimensiuni

155 x 235 x 14

Descriere completă

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 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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Multi-scale Analysis for Random Quantum Systems with Interaction

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