Quantum Chaos Quantum Measurement

Author : P. Cvitanovic,I. Percival,A. Wirzba
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 49,6 Mb
Release : 2013-04-17
Category : Science
ISBN : 9789401579797

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Quantum Chaos — Quantum Measurement by P. Cvitanovic,I. Percival,A. Wirzba Pdf

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.

Author : P. Cvitanovic,I. Percival,A. Wirzba
Publisher : Springer
Page : 332 pages
File Size : 49,9 Mb
Release : 1992-01-31
Category : Science
ISBN : 0792315995

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Quantum Chaos — Quantum Measurement by P. Cvitanovic,I. Percival,A. Wirzba Pdf

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.

Author : Edward Roy Pike,Sarben Sarkar
Publisher : Plenum Publishing Corporation
Page : 288 pages
File Size : 53,7 Mb
Release : 1987
Category : Science
ISBN : UVA:X001405014

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Quantum Measurement and Chaos by Edward Roy Pike,Sarben Sarkar Pdf

Author : M. Namiki
Publisher : American Institute of Physics
Page : 336 pages
File Size : 44,9 Mb
Release : 1996
Category : Science
ISBN : UOM:39015038520550

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Quantum Physics, Chaos Theory, and Cosmology by M. Namiki Pdf

"The papers in this book -- contributed by such well-known figures as J. A. Wheeler, K. Thorne, and I. Prigogine -- investigate the uncharted territory at the boundary between relativity and quantum theory, where researchers are working hard to find some common ground for these two pillars of modern science. Also discussed are the latest experimental results that help guide the search for quantum gravity and quantum chaos. The unifying principle for the book lies in the cosmological implications arising from this research, which is conducted at the outer limits of physics." "Contents" The papers in this book -- contributed by such well-known figures as J. A. Wheeler, K. Thorne, and I. Prigogine -- investigate the uncharted territory at the boundary between relativity and quantum theory, where researchers are working hard to find some common ground for these two pillars of modern science. Also discussed are the latest experimental results that help guide the search for quantum gravity and quantum chaos. The unifying principle for the book lies in the cosmological implications arising from this research, which is conducted at the outer limits of physics.

Author : Daniel Braun
Publisher : Springer Science & Business Media
Page : 139 pages
File Size : 43,5 Mb
Release : 2001-01-25
Category : Language Arts & Disciplines
ISBN : 9783540411970

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Dissipative Quantum Chaos and Decoherence by Daniel Braun Pdf

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.

Author : Andreas Knauf,Yakov G. Sinai
Publisher : Birkhäuser
Page : 104 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034889322

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Classical Nonintegrability, Quantum Chaos by Andreas Knauf,Yakov G. Sinai Pdf

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.

Author : Luigi Accardi,Shuichi Tasaki
Publisher : World Scientific
Page : 348 pages
File Size : 46,9 Mb
Release : 2003
Category : Mathematics
ISBN : 9789812704412

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Fundamental Aspects of Quantum Physics by Luigi Accardi,Shuichi Tasaki Pdf

This volume includes new topics such as the stochastic limit approach to nonequilibrium states, a new algebraic approach to relativistic nonequilibrium local states, classical and quantum features of weak chaos, transports in quantum billiards, the WelcherOCoWeg puzzle with a decaying atom, and the topics related to the quantum Zeno effect.The proceedings have been selected for coverage in: OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)"

Author : K. Nakamura
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 44,5 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306471216

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Quantum versus Chaos by K. Nakamura Pdf

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 : Paolo Grigolini
Publisher : World Scientific
Page : 428 pages
File Size : 47,9 Mb
Release : 1993
Category : Science
ISBN : 9810213174

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Quantum Mechanical Irreversibility and Measurement by Paolo Grigolini Pdf

The subject of this book emerged from a series of lectures that the author gave at the Department of Physics of the University of North Texas during the 1992 Spring Semester, and reflects the vivacious discussions that he has been having with the students and the co-workers attending this course. The main conclusion of these discussions was that the major tenet of the "conservative" physicists, that classical physics must be recovered from quantum mechanics by adopting the statistical perspective of Gibbs, implying by necessity a Gibbs ensemble of Universes as well as a Gibbs ensemble of observers, is not satisfactory. It is actually as unsatisfactory as the dominant approaches to irreversibility. The book examines the current approaches to irreversibility, in classical and quantum physics, and shows that an objective theory of irreversibility does not exist yet, and that all the current theories of irreversibility share with quantum mechanics elements of subjectivity, making crucial the role played by the observer. In addition to the traditional quantum mechanical paradoxes, concerning the quantum theory of measurement, the book also discusses the new difficulties that the physics of chaos is causing to the widely accepted correspondence principle, and suggests that the Boltzmann dream, the dream that the fracture between dynamics and thermodynamics might be healed, cannot become true within the framework of the current physics, and that the establishment of a new physics is necessary for that ambitious purpose to be achieved.

Author : Martin C. Gutzwiller
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 55,8 Mb
Release : 1991-08-01
Category : Mathematics
ISBN : 9780387971735

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Chaos in Classical and Quantum Mechanics by Martin C. Gutzwiller Pdf

Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Author : Z. Haba,Wojciech Cegla,Lech Jakóbczyk
Publisher : Springer Science & Business Media
Page : 222 pages
File Size : 49,6 Mb
Release : 2013-03-07
Category : Science
ISBN : 9789401101691

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Stochasticity and Quantum Chaos by Z. Haba,Wojciech Cegla,Lech Jakóbczyk Pdf

These are the proceedings of the Third Max Born Symposium which took place at SobOtka Castle in September 1993. The Symposium is organized annually by the Institute of Theoretical Physics of the University of Wroclaw. Max Born was a student and later on an assistant at the University of Wroclaw (Wroclaw belonged to Germany at this time and was called Breslau). The topic of the Max Born Sympo sium varies each year reflecting the developement of theoretical physics. The subject of this Symposium "Stochasticity and quantum chaos" may well be considered as a continuation of the research interest of Max Born. Recall that Born treats his "Lectures on the mechanics of the atom" (published in 1925) as a nrst volume of a complete monograph (supposedly to be written by another person). His lectures concern the quantum mechanics of integrable systems. The quantum mechanics of non-integrable systems was the subject of the Third Max Born Symposium. It is known that classical non-integrable Hamiltonian systems show a chaotic behaviour. On the other hand quantum systems bounded in space are quasiperi odic. We believe that quantum systems have a reasonable classical limit. It is not clear how to reconcile the seemingly regular behaviour of quantum systems with the possible chaotic properties of their classical counterparts. The quantum proper ties of classically chaotic systems constitute the main subject of these Proceedings. Other topics discussed are: the quantum mechanics of dissipative systems, quantum measurement theory, the role of noise in classical and quantum systems.

Author : Shuichi Tasaki,Luigi Accardi
Publisher : World Scientific
Page : 352 pages
File Size : 54,6 Mb
Release : 2003-02-21
Category : Mathematics
ISBN : 9789814486521

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Fundamental Aspects Of Quantum Physics, Proceedings Of The Japan-italy Joint Workshop On Quantum Open Systems, Quantum Chaos And Quantum Measurement by Shuichi Tasaki,Luigi Accardi Pdf

This volume includes new topics such as the stochastic limit approach to nonequilibrium states, a new algebraic approach to relativistic nonequilibrium local states, classical and quantum features of weak chaos, transports in quantum billiards, the Welcher-Weg puzzle with a decaying atom, and the topics related to the quantum Zeno effect.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

Author : Linda Reichl
Publisher : Springer Nature
Page : 555 pages
File Size : 47,9 Mb
Release : 2021-04-12
Category : Science
ISBN : 9783030635343

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The Transition to Chaos by Linda Reichl Pdf

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.

Author : Giulio Casati,Boris Chirikov
Publisher : Cambridge University Press
Page : 703 pages
File Size : 40,8 Mb
Release : 1995-04-27
Category : Mathematics
ISBN : 9780521432917

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Quantum Chaos by Giulio Casati,Boris Chirikov Pdf

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

Author : Hans-Jürgen Stöckmann
Publisher : Cambridge University Press
Page : 386 pages
File Size : 50,5 Mb
Release : 1999-10-13
Category : Science
ISBN : 9780521592840

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Quantum Chaos by Hans-Jürgen Stöckmann Pdf

Discusses quantum chaos, an important area of nonlinear science.