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Title: QUANTUM TRANSPORT IN MESOSCOPIC SYSTEMS
COMPLEXITY AND STATISTICAL FLUCTUATIONS. A MAXIMUM ENTROPY VIEWPOINT
By: Pier A. Mello, Narendra Kumar
Format: Hardback

List price: £152.50
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ISBN 10: 0198525826
ISBN 13: 9780198525820
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Publisher: OXFORD UNIVERSITY PRESS
Pub. date: 20 May, 2004
Series: Mesoscopic Physics and Nanotechnology 4
Pages: 416
Description: This book presents the statistical theory of complex wave scattering and quantum transport in classically chaotic and disordered systems. The novel approach is a maximum-entropy viewpoint, which reveals the statistical regularity of the phenomena in a natural way. The pedagogical presentation of quantum scattering theory, linear response theory, and information theory make the related chapters suitable for graduate courses on the subject. The book contains manyworked-through exercises
Synopsis: This book presents the statistical theory of complex wave scattering and quantum transport in physical systems which have chaotic classical dynamics, as in the case of microwave cavities and quantum dots, or which possess quenched randomness, as in the case of disordered conductors - with an emphasis on mesoscopic fluctuations. The statistical regularity of the phenomena is revealed in a natural way by adopting a novel maximum-entropy approach. Shannon's information entropy is maximised, subject to the symmetries and constraints which are physically relevant, within the powerful and non-perturbative theory of random matrices; this is a most distinctive feature of the book. Aiming for a self-contained presentation, the quantum theory of scattering, set in the context of quasi-one-dimensional, multichannel systems, and related directly to scattering problems in mesoscopic physics, is introduced in chapters two and three. The linear-response theory of quantum electronic transport, adapted to the context of mesoscopic systems, is discussed in chapter four.These chapters, together with chapter five on the maximum-entropy approach and chapter eight on weak localization, have been written in a most pedagogical style, suitable for use on graduate courses. In chapters six and seven, the problem of electronic transport through classically chaotic cavities and quasi-one-dimensional disordered systems is discussed. Many exercises are included, most of which are worked through in detail, aiding graduate students, teachers, and research scholars interested in the subject of quantum transport through disordered and chaotic systems.
Illustrations: numerous line drawings
Publication: UK
Imprint: Oxford University Press
Returns: Returnable
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