Quantum versus Chaos: Questions Emerging from Mesoscopic Cosmos

Author:   K. Nakamura
Publisher:   Springer
Edition:   Softcover reprint of the original 1st ed. 1997
Volume:   87
ISBN:  

9789048148509


Pages:   214
Publication Date:   15 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Quantum versus Chaos: Questions Emerging from Mesoscopic Cosmos


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Overview

Quantum and chaos, key concepts in contemporary science, are incompatible by nature. This volume presents an investigation into quantum transport in mesoscopic or nanoscale systems which are classically chaotic and shows the success and failure of quantal, semiclassical, and random matrix theories in dealing with questions emerging from the mesoscopic cosmos. These traditional theories are critically analysed, and this leads to a new direction. To reconcile quantum with chaos and to restore genuine temporal chaos in quantum systems, a time-discrete variant of quantum dynamics is proposed. Audience:This book will be of interest to graduate students and researchers in physics, chemistry and mathematics, whose work involves fundamental questions of quantum mechanics in chaotic systems.

Full Product Details

Author:   K. Nakamura
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1997
Volume:   87
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048148509


ISBN 10:   9048148502
Pages:   214
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Genesis of Chaos and Breakdown of Quantization of Adiabatic Invariants.- Semiclassical Quantization of Chaos: Trace Formula.- Pseudo-Chaos Without Classical Counterpart in One-Dimensional Quantum Transport.- Chaos and Quantum Transport in Open Magnetic Billiards: from Stadium to Sinai Billiards.- Chaotic Scattering on Hyperbolic Billiards: Success of Semiclassical Theory.- Nonadiabaticity-Induced Quantum Chaos.- Level Dynamics and Statistical Mechanics.- Towards Time-Discrete Quantum Mechanics.- Conclusions and Prospects.

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