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Quantum versus Chaos : Questions Emerging from Mesoscopic Cosmos - Katsuhiro Nakamura

Quantum versus Chaos

Questions Emerging from Mesoscopic Cosmos

Hardcover Published: 31st May 1997
ISBN: 9780792345572
Number Of Pages: 214

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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.

Preface
Genesis of chaos and breakdown of quantization of adiabatic invariantsp. 1
Semiclassical quantization of chaos: trace formulap. 15
Pseudo-chaos without classical counterpart in 1-dimensional quantum transportp. 31
Chaos and quantum transport in open magnetic billiards: from stadium to Sinai billiardsp. 45
Chaotic scattering on hyperbolic billiards: success of semiclassical theoryp. 79
Nonadiabaticity-induced quantum chaosp. 102
Level dynamics and statistical mechanicsp. 127
Towards time-discrete quantum mechanicsp. 162
Conclusions and prospectsp. 198
Indexp. 209
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792345572
ISBN-10: 0792345576
Series: Fundamental Theories of Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 214
Published: 31st May 1997
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 1.1