Quantum versus Chaos: Questions Emerging from Mesoscopic Cosmos / Edition 1

by K. Nakamura

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.

Product Details

ISBN-13:	9780792345572
Publisher:	Springer Netherlands
Publication date:	05/31/1997
Series:	Fundamental Theories of Physics , #87
Edition description:	1997
Pages:	214
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

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.