9781461482260
IR
EN-52542
انگلیسی
IR
Multi-scale Analysis for Random Quantum Systems with Interactio
[Book]
/ electronic resource
New York, NY
: Springer New York :Imprint: Birkh?user,
, 2014.
XI, 238 s. 5 illus. , online resource..
(Progress in Mathematical Physics
; 65,1544-9998)
9781461482253.
Electronic
Summary: 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 apresents the progress that had been recently achieved in this area. a 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. a 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. a 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.
Preface -- Part I Single-particle Localisation -- A Brief History of Anderson Localization.-aSingle-Particle MSA Techniques -- Part II Multi-particle Localization -- Multi-particle Eigenvalue Concentration Bounds -- Multi-particle MSA Techniques -- References -- Index.
Progress in Mathematical Physics ;65,1544-9998
Mathematics
Functional analysis
Distribution (Probability theory)
Mathematical physics
Mathematics
Functional Analysis
Mathematical Methods in Physics
Probability Theory and Stochastic Processes
Applications of Mathematics
Solid State Physics
Spectroscopy and Microscopy
E-BOOK
Chulaevsky, Victor.
Suhov, Yuri
SpringerLink (Online service)
ایران
9781461482253.pdf
عادی
عادی
9781461482253.pdf
متن
old catalog
e
BL
1
a
Y
