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Multi-Scale Analysis for Random Quantum Systems with Interac, Chulaevsky VA


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Автор: Chulaevsky VA
Название:  Multi-Scale Analysis for Random Quantum Systems with Interac
ISBN: 9781461482253
Издательство: Springer
Классификация:




ISBN-10: 1461482259
Обложка/Формат: Hardcover
Страницы: 226
Вес: 0.53 кг.
Дата издания: 30.09.2013
Язык: English
Размер: 234 x 156 x 16
Ссылка на Издательство: Link
Поставляется из: Германии
Описание:

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.




Multi-scale Analysis for Random Quantum Systems with Interaction

Автор: Victor Chulaevsky; Yuri Suhov
Название: Multi-scale Analysis for Random Quantum Systems with Interaction
ISBN: 1493939521 ISBN-13(EAN): 9781493939527
Издательство: Springer
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Цена: 11878.00 р.
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Описание:

Propagation and localization phenomena in solid state physics and, more generally, in complex and disordered media, have attracted the attention of physicists and mathematicians for many years. One of the most powerful and rigorous methods of analysis of these phenomena is so-called multi-scale analysis.

This monograph gives a systematic exposition of this method for random lattice Schrodinger operators (LSO) with interaction. These results belong to the authors; many of them are presented for the first time in the literature. The authors focus on the Anderson tight binding model, which is most accessible to a broad audience. Also given is a detailed review of various relevant methods (generated, mainly, for the single-particle case), and a discussion of their strong and weak sides regarding their applicability to multi-particle systems.

The level of presentation is suitable for graduate students possessing basic knowledge of functional analysis, probability theory and quantum mechanics. The complete presentation of basic results and methods of spectral theory of self-adjoint operators required for understanding of localization theory makes the presentation self-contained and available for non-specialists in this area.

Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

Автор: Thomas M. Liggett
Название: Stochastic Interacting Systems: Contact, Voter and Exclusion Processes
ISBN: 3642085296 ISBN-13(EAN): 9783642085291
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Interactive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T. Liggett, Interacting Particle System, ISBN 3-540-96069) that treated the subject as it was at that time. The present book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. In so doing, many of the most useful techniques in the field are explained and developed, so that they can be applied to other models and in other contexts. Extensive Notes and References sections discuss other work on these and related models. Readers are expected to be familiar with analysis and probability at the graduate level, but it is not assumed that they have mastered the material in the 1985 book. This book is intended for graduate students and researchers in Probability Theory, and in related areas of Mathematics, Biology and Physics.

An Interactive Introduction to Mathematical Analysis

Автор: Lewin
Название: An Interactive Introduction to Mathematical Analysis
ISBN: 1107694043 ISBN-13(EAN): 9781107694040
Издательство: Cambridge Academ
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Цена: 6653.00 р.
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Описание: This book provides a rigorous course in the calculus of functions of a real variable. The companion on-screen version of this text contains hundreds of links to alternative approaches, more complete explanations and solutions to exercises; links that make it more friendly than any printed book could be.

Random Walks, Brownian Motion, and Interacting Particle Systems

Автор: H. Kesten; R. Durrett
Название: Random Walks, Brownian Motion, and Interacting Particle Systems
ISBN: 1461267706 ISBN-13(EAN): 9781461267706
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come.

Theory of Interacting Quantum Fields

Автор: Rebenko Alexei L
Название: Theory of Interacting Quantum Fields
ISBN: 3110250624 ISBN-13(EAN): 9783110250626
Издательство: Walter de Gruyter
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Цена: 31603.00 р.
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Описание:

This monograph is devoted to the systematic presentation of foundations of the quantum field theory. Unlike numerous monographs devoted to this topic, a wide range of problems covered in this book are accompanied by their sufficiently clear interpretations and applications. An important significant feature of this monograph is the desire of the author to present mathematical problems of the quantum field theory with regard to new methods of the constructive and Euclidean field theory that appeared in the last thirty years of the 20th century and are based on the rigorous mathematical apparatus of functional analysis, the theory of operators, and the theory of generalized functions.

The monograph is useful for students, post-graduate students, and young scientists who desire to understand not only the formality of construction of the quantum field theory but also its essence and connection with the classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of path integral formalism.

Interacting Multiagent Systems: Kinetic Equations and Monte Carlo Methods

Автор: Pareschi Lorenzo, Toscani Giuseppe
Название: Interacting Multiagent Systems: Kinetic Equations and Monte Carlo Methods
ISBN: 0199655464 ISBN-13(EAN): 9780199655465
Издательство: Oxford Academ
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Цена: 14573.00 р.
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Описание: Mathematical modelling of systems constituted by many agents using kinetic theory is a new tool that has proved effective in predicting the emergence of collective behaviours and self-organization. This idea has been applied by the authors to various problems which range from sociology to economics and life sciences.

Random Matrix Theory, Interacting Particle Systems, and Integrable Systems

Автор: Deift
Название: Random Matrix Theory, Interacting Particle Systems, and Integrable Systems
ISBN: 1107079926 ISBN-13(EAN): 9781107079922
Издательство: Cambridge Academ
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Цена: 15523.00 р.
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Описание: This volume, based on the Fall 2010 MSRI program, includes review articles, research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles, and other core aspects of random matrix theory such as integrability and free probability theory.

Peptide and Protein Interaction with Membrane Systems

Автор: Sara Bobone
Название: Peptide and Protein Interaction with Membrane Systems
ISBN: 331938273X ISBN-13(EAN): 9783319382739
Издательство: Springer
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Цена: 13059.00 р.
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Описание: In her thesis, Sara Bobone outlines spectroscopic studies of antimicrobial peptides (AMPs) which are promising lead compounds for drugs used to fight multidrug resistant bacteria.

Random Walks, Brownian Motion, and Interacting Particle Systems

Автор: H. Kesten; R. Durrett
Название: Random Walks, Brownian Motion, and Interacting Particle Systems
ISBN: 0817635092 ISBN-13(EAN): 9780817635091
Издательство: Springer
Рейтинг:
Цена: 20962.00 р.
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Описание: This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come.

Interacting Stochastic Systems

Автор: Jean-Dominique Deuschel; Andreas Greven
Название: Interacting Stochastic Systems
ISBN: 3642061966 ISBN-13(EAN): 9783642061967
Издательство: Springer
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Цена: 13275.00 р.
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Описание: 1 2 Jean-Dominique Deuschel and Andreas Greven 1 Fakult] at II - Mathematik und Naturwissenschaften, Institut fur ] Mathematik, Technische Universit] at Berlin, Strae des 17. Juni 136, D-10623 Berlin Tel. (0049 30) 314-25193, Fax: (0049 30) 314-21695 deuschel@math. tu-berlin. de 2 1 Mathematisches Institut, Bismarckstr. 1, D-91054 Erlangen, 2 Tel. (0049 9131) 85-22454, Fax (0049 9131) 85-26214 This volume collects original work and reviews on work in the ?eld of pro- bilitywhichtookplacewithintheframeworkoftheDFG-Schwerpunkt: Int- acting stochastic systems of high complexity. This research network started in May 1997 and was funded till May 2003. In this network between 20-30 (depending on the 2-year periods of grant renewal) groups from probab- ity, statistical physics and mathematical statistics within Germany were - tive. An extensive international collaboration was an essential part of this network and here particularly intense contacts were built up between the DFG-Schwerpunkt and EURANDOM, a European institute for research in stochastics, which was founded in 1997. This partnership reached from joint workshops and colloquia to collaborations on speci?c projects. The key scienti?c idea which was behind the research network was to - plore and develop the connections between research in in?nite dimensional stochastic analysis, statistical physics (Gibbs measures, random media), s- tial population models from mathematical biology, complex models of ?n- cial markets or of stochastic models with interacting components in other sciences as for example in climatology.


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