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Quantum Chaos

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Quantum Chaos Quantum Measurement

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Author : P. Cvitanovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Quantum Chaos Quantum Measurement written by P. Cvitanovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.

This volume contains the proceedings of the NATO Advanced Research Workshop on `Quantum Chaos -- Theory and Experiment', held at the Niels Bohr Institute, University of Copenhagen, from 28 May to 1 June 1991. The work brings together leading quantum chaos theorists and experimentalists and greatly improves our understanding of the physics of quantum systems whose classical limit is chaotic. Quantum chaos is a subject of considerable current interest in a variety of fields, in particular nuclear physics, chemistry, statistical mechanics, atomic physics, condensed matter physics and nonlinear dynamics. The volume contains lectures about the currently most active fronts of quantum chaos, such as scars, semiclassical methods, quantum diffusion, random matrix spectra, quantum chaos in atomic and nuclear physics, and possible implications of quantum chaos for the problem of quantum measurement. Part of the book -- The Physics of Quantum Measurements -- is dedicated to the memory of John Bell.

Quantum Chaos

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Author : Katsuhiro Nakamura
language : en
Publisher: CUP Archive
Release Date : 1994-06-02

Quantum Chaos written by Katsuhiro Nakamura and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-02 with Mathematics categories.

Past studies on chaos have been concerned with classical systems but this book is one of the first to deal with quantum chaos.

Quantum Chaos

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Author : Giulio Casati
language : en
Publisher: Cambridge University Press
Release Date : 1995-04-27

Quantum Chaos written by Giulio Casati and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-27 with Mathematics categories.

This book provides a comprehensive overview of our understanding of chaotic behaviour in quantum systems.

Classical Nonintegrability Quantum Chaos

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Author : Andreas Knauf
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Classical Nonintegrability Quantum Chaos written by Andreas Knauf and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in nonin tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator. Similar to the use made of the Riemann zeta function in the investigation of the prime numbers, dynamical zeta functions are now being applied in nonlinear dynamics. In Chapter 2 V. Baladi first introduces dynamical zeta functions and transfer operators, illustrating and motivating these notions with a simple one-dimensional dynamical system. Then she presents a commented list of useful references, helping the newcomer to enter smoothly into this fast-developing field of research. Chapter 3 on irregular scattering and Chapter 4 on quantum chaos by A. Knauf deal with solutions of the Hamilton and the Schr6dinger equation. Scatter ing by a potential force tends to be irregular if three or more scattering centres are present, and a typical phenomenon is the occurrence of a Cantor set of bounded orbits. The presence of this set influences those scattering orbits which come close.

Quantum Chaos

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Author : G. Casati
language : en
Publisher: Elsevier
Release Date : 2015-08-11

Quantum Chaos written by G. Casati and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-11 with Science categories.

The study of quantum systems which are chaotic in the classical limit (quantum chaos or quantum chaology) is a very new field of research. Not long ago, it was still considered as an esoteric subject, however this attitude changed radically when it was realized that this subject is relevant to many of the more mature branches of physics. This book presents the accumulated knowledge available up until now and at the same time introduces topics which are being intensively studied at present. Their relevance to other fields such as condensed matter, atomic and nuclear physics is also discussed. The lectures have been divided into two rough categories - background and advanced lectures.

Dissipative Quantum Chaos And Decoherence

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Author : Daniel Braun
language : en
Publisher: Springer
Release Date : 2003-07-01

Dissipative Quantum Chaos And Decoherence written by Daniel Braun and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.

This overview of the state of the art of research in an exciting field mainly emphasizes the development of a semiclassical formalism that allows one to incorporate the effect of dissipation and decoherence in a precise, yet tractable way into the quantum mechanics of classically chaotic systems.

Quantum Signatures Of Chaos

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Author : Fritz Haake
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Quantum Signatures Of Chaos written by Fritz Haake and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.

This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.

Quantum Chaos Quantum Measurement

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Author : P. Cvitanovic
language : en
Publisher: Springer
Release Date : 1992-01-31

Quantum Chaos Quantum Measurement written by P. Cvitanovic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-31 with Science categories.

The Transition To Chaos

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Author : Linda Reichl
language : en
Publisher: Springer Nature
Release Date : 2021-04-12

The Transition To Chaos written by Linda Reichl and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-12 with Science categories.

Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.

Quantum Versus Chaos

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Author : K. Nakamura
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11

Quantum Versus Chaos written by K. Nakamura and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Science categories.

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 Chaos

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