عنوان

Multi-scale analysis for random quantum systems with interaction /

(Number (ISBN

1461482267 (electronic bk.)

(Number (ISBN

9781461482260 (electronic bk.)

Erroneous ISBN

9781461482253

Number

dltt

Title Proper

Multi-scale analysis for random quantum systems with interaction /

General Material Designation

[Book]

First Statement of Responsibility

Victor Chulaevsky, Yuri Suhov

Specific Material Designation and Extent of Item

1 online resource (xi, 238 pages) :

Other Physical Details

illustrations.

Series Title

Progress in Mathematical Physics,

Volume Designation

volume 65

ISSN of Series

1544-9998 ;

Text of Note

Includes bibliographical references and index

Text of Note

Single-particle Localisation -- A Brief History of Anderson Localization.- Single-Particle MSA Techniques -- Multi-particle Localization -- Multi-particle Eigenvalue Concentration Bounds -- Multi-particle MSA Techniques

0

Text of Note

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

Multiscale modeling.

Applications of Mathematics.

Functional Analysis.

Mathematical Methods in Physics.

Probability Theory and Stochastic Processes.

MAT037000

PBKF

Number

Edition

Class number

Chulaevskiĭ, V. A.

Suhov, Yu. M.

Ohio Library and Information Network.

Date of Transaction

20150224074111.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y