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[null,"1.","Record Nr.",null,"UNINA9910299975403321"]
[null,null,"Autore",null,"Chulaevsky Victor"]
[null,null,"Titolo",null,"Multi-scale Analysis for Random Quantum Systems with Interaction / / by Victor Chulaevsky, Yuri Suhov"]
[null,null,"Pubbl/distr/stampa",null,"New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2014"]
[null,null,"ISBN",null,"1-4614-8226-7"]
[null,null,"Edizione",null,"[1st ed. 2014.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XI, 238 p. 5 illus.) : online resource"]
[null,null,"Collana",null,"Progress in Mathematical Physics, , 1544-9998 ; ; 65"]
[null,null,"Disciplina",null,"515.7"]
[null,null,"Soggetti",null,"Functional analysis"]
[{"$nulls":4},"Physics"]
[{"$nulls":4},"Probabilities"]
[{"$nulls":4},"Applied mathematics"]
[{"$nulls":4},"Engineering mathematics"]
[{"$nulls":4},"Solid state physics"]
[{"$nulls":4},"Spectrum analysis"]
[{"$nulls":4},"Microscopy"]
[{"$nulls":4},"Functional Analysis"]
[{"$nulls":4},"Mathematical Methods in Physics"]
[{"$nulls":4},"Probability Theory and Stochastic Processes"]
[{"$nulls":4},"Applications of Mathematics"]
[{"$nulls":4},"Solid State Physics"]
[{"$nulls":4},"Spectroscopy and Microscopy"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages [229]-235) and index."]
[null,null,"Nota di contenuto",null,"Preface -- Part I Single-particle Localisation -- A Brief History of Anderson Localization.- Single-Particle MSA Techniques -- Part II Multi-particle Localization -- Multi-particle Eigenvalue Concentration Bounds -- Multi-particle MSA Techniques -- References -- Index."]
[null,null,null,"Sommario/riassunto","The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely "]
[{"$nulls":4},"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."]