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Quantum versus chaos: questions emerging from mesoscopic cosmos

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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  Read more...

Abstract: 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

Author(s): Nakamura, Katsuhiro
Series: Fundamental Theories of Physics An International Book Series on The Fundamental Theories of Physics: Their Clarification Development and Application 87
Publisher: Kluwer Academic Publishers
Year: 2002

Language: English
Pages: 225
City: New York
Tags: Condensed matter.;Statistical physics.;Dynamics.;Optical materials.;Electronics -- Materials.;Physics.;Quantum Physics.;Theoretical, Mathematical and Computational Physics.;Statistical Physics, Dynamical Systems and Complexity.;Condensed Matter Physics.;Optical and Electronic Materials.;Mesoscopic phenomena (Physics);Quantum theory.;Chaotic behavior in systems.

Content: 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.