Quantum versus Chaos: Questions Emerging from Mesoscopic Cosmos (Fundamental Theories of Physics Book 87)

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.

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.

booknews

an Investigation Into Quantum Transport In Mesoscopic Or Nanoscale Systems Which Are Classically Chaotic, Showing The Success And Failure Of Quantal, Semiclassical, And Random Matrix Theories In Dealing With Questions Emerging From The Mesoscopic Cosmos. To Reconcile Quantum With Chaos And To Restore Genuine Temporal Chaos In Quantum Systems, A Time-discrete Variant Of Quantum Dynamics Is Proposed. Of Interest To Graduate Students And Researchers In Physics, Chemistry, And Mathematics. Annotation C. By Book News, Inc., Portland, Or.

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. Genesis of Chaos and Breakdown of Quantization of Adiabatic Invariants....Pages 1-14 Semiclassical Quantization of Chaos: Trace Formula....Pages 15-30 Pseudo-Chaos Without Classical Counterpart in One-Dimensional Quantum Transport....Pages 31-44 Chaos and Quantum Transport in Open Magnetic Billiards: from Stadium to Sinai Billiards....Pages 45-78 Chaotic Scattering on Hyperbolic Billiards: Success of Semiclassical Theory....Pages 79-101 Nonadiabaticity-Induced Quantum Chaos....Pages 102-126 Level Dynamics and Statistical Mechanics....Pages 127-161 Towards Time-Discrete Quantum Mechanics....Pages 162-197 Conclusions and Prospects....Pages 198-208