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Add to basketCondition: New. 2013. 2014th Edition. Hardcover. . . . . .
Published by Springer (India) Private Limited, 2016
ISBN 10: 1493939521 ISBN 13: 9781493939527
Language: English
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Published by Birkhauser Boston Inc, Secaucus, 2013
ISBN 10: 1461482259 ISBN 13: 9781461482253
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Add to basketHardcover. Condition: new. Hardcover. 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 theorya 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 Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Birkhauser Boston Inc, Secaucus, 2013
ISBN 10: 1461482259 ISBN 13: 9781461482253
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Add to basketHardcover. Condition: new. Hardcover. 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 theorya 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 Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Published by Springer (India) Private Limited, 2016
ISBN 10: 1493939521 ISBN 13: 9781493939527
Language: English
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Condition: New. Print on Demand pp. 238.
Published by Springer (India) Private Limited, 2016
ISBN 10: 1493939521 ISBN 13: 9781493939527
Language: English
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