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Field name	Details
Dewey Class	530.41 (DDC 23)
Title	Multi-scale Analysis for Random Quantum Systems with Interaction ([Ebook]) / by Victor Chulaevsky, Yuri Suhov.
Author	Chulaevsky, Victor
Added Personal Name	Suhov, Yuri
Other name(s)	SpringerLink (Online service)
Publication	New York, NY Birkhäuser 2014.
Physical Details	XI, 238 pages. 5 illus. : online resource.
ISBN	9781461482260
Summary 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. 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.:
Contents note	Preface -- Part I Single-particle Localisation -- A Brief History of Anderson Localization.- Single-Particle MSA Techniques -- Part II Multi-particle Localization -- Multi-particle Eigenvalue Concentration Bounds -- Multi-particle MSA Techniques -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4614-8226-0
Links to Related Works	Subject References: Applications of Mathematics . Distribution (Probability theory) . Functional Analysis . Mathematical Methods in Physics . Mathematical Physics . Mathematics . Probability theory and stochastic processes . Solid state physics . Spectroscopy and Microscopy . Authors: author . Chulaevsky, Victor . Suhov, Yuri . Corporate Authors: SpringerLink (Online service) . Series: Progress in Mathematical Physics . Classification: 530.41 (DDC 23) .

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Multi-scale Analysis for Random Quantum Systems with Interaction

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