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New Directions in Quantum Chaos

New Directions in Quantum Chaos
Author: Società italiana di fisica
Publisher: IOS Press
Total Pages: 548
Release: 2000
Genre: Science
ISBN: 1614992282

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The rapid progress of the research field of quantum chaos and its applications called for a book that keeps students abreast of the new developments and at the same time provides a solid basis in subjects which form the canon of the field. This book discusses the following topics: Spectral statistics and their semiclassical interpretation in terms of the Gutzwiller trace formula, Quantum chaos and its applications in mesoscopic physics, Spectral statistics and conductance fluctuations and Quantum chaos in systems with many degrees of freedom. The book connects and continues past and present achievements and prepares the ground for a future full of intriguing and important developments.


New Directions in Quantum Chaos

New Directions in Quantum Chaos
Author: Giulio Casati
Publisher: IOS Press
Total Pages: 554
Release: 2000
Genre: Optoelectronics
ISBN: 9784274903663

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Quantum versus Chaos

Quantum versus Chaos
Author: K. Nakamura
Publisher: Springer Science & Business Media
Total Pages: 224
Release: 2006-04-11
Genre: Science
ISBN: 0306471213

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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 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.


New Directions in Linear Acoustics and Vibration

New Directions in Linear Acoustics and Vibration
Author: Matthew Wright
Publisher: Cambridge University Press
Total Pages: 285
Release: 2010-07-26
Genre: Science
ISBN: 1139491547

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Linear acoustics was thought to be fully encapsulated in physics texts of the 1950s, but this view has been changed by developments in physics during the last four decades. There is a significant new amount of theory that can be used to address problems in linear acoustics and vibration, but only a small amount of reported work does so. This book is an attempt to bridge the gap between theoreticians and practitioners, as well as the gap between quantum and acoustic. Tutorial chapters provide introductions to each of the major aspects of the physical theory and are written using the appropriate terminology of the acoustical community. The book will act as a quick-start guide to the new methods while providing a wide-ranging introduction to the physical concepts.


Chaos in Classical and Quantum Mechanics

Chaos in Classical and Quantum Mechanics
Author: Martin C. Gutzwiller
Publisher: Springer Science & Business Media
Total Pages: 445
Release: 2013-11-27
Genre: Mathematics
ISBN: 1461209838

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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.


Quantum Chaos and Quantum Dots

Quantum Chaos and Quantum Dots
Author: Katsuhiro Nakamura
Publisher:
Total Pages: 228
Release: 2004
Genre: Mesoscopic phenomena (Physics).
ISBN: 9780198525899

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Dynamics of billiard balls and their role in physics have received wide attention since the monumental lecture by Lord Kelvin at the turn of the 19th century. Billiards can nowadays be created as quantum dots in the microscopic world enabling one to envisage the so-called quantum chaos, i.e.quantum manifestation of chaos of billiard balls. In fact, owing to recent progress in advanced technology, nanoscale quantum dots, such as chaotic stadium and antidot lattices analogous to the Sinai Billiard, can be fabricated at the interface of semiconductor heterojunctions. This book begins itsexploration of the effect of chaotic electron dynamics on ballistic quantum transport in quantum dots with a puzzling experiment on resistance fluctuations for stadium and circle dots. Throughout the text, major attention is paid to the semiclassical theory which makes it possible to interpretquantum phenomena in the language of the classical world. Chapters one to four are concerned with the elementary statistical methods (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and escape rate), which are needed for a semiclassical description of transport in quantum dots. Chapters fiveto ten discuss the topical subjects in the field, including the ballistic weak localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, persistent current, Arnold diffusion and Coulomb blockade.


New Directions in Linear Acoustics and Vibration

New Directions in Linear Acoustics and Vibration
Author: Matthew Wright
Publisher: Cambridge University Press
Total Pages: 0
Release: 2015-04-09
Genre: Science
ISBN: 9781107513457

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The field of acoustics is of immense industrial and scientific importance. The subject is built on the foundations of linear acoustics, which is widely regarded as so mature that it is fully encapsulated in the physics texts of the 1950s. This view was changed by developments in physics such as the study of quantum chaos. Developments in physics throughout the last four decades, often equally applicable to both quantum and linear acoustic problems but overwhelmingly more often expressed in the language of the former, have explored this. There is a significant new amount of theory that can be used to address problems in linear acoustics and vibration, but only a small amount of reported work does so. This book is an attempt to bridge the gap between theoreticians and practitioners, as well as the gap between quantum and acoustic. Tutorial chapters provide introductions to each of the major aspects of the physical theory and are written using the appropriate terminology of the acoustical community. The book will act as a quick-start guide to the new methods while providing a wide-ranging introduction to the physical concepts.


Quantum Chaos

Quantum Chaos
Author: G. Casati
Publisher: Elsevier
Total Pages: 437
Release: 2015-08-11
Genre: Science
ISBN: 1483290328

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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.


Dynamics of Dissipation

Dynamics of Dissipation
Author: Piotr Garbaczewski
Publisher: Springer Science & Business Media
Total Pages: 505
Release: 2002-11-07
Genre: Science
ISBN: 3540441115

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This collection of lectures treats the dynamics of open systems with a strong emphasis on dissipation phenomena related to dynamical chaos. This research area is very broad, covering topics such as nonequilibrium statistical mechanics, environment-system coupling (decoherence) and applications of Markov semi-groups to name but a few. The book addresses not only experienced researchers in the field but also nonspecialists from related areas of research, postgraduate students wishing to enter the field and lecturers searching for advanced textbook material.


Quantum Chaos Y2K

Quantum Chaos Y2K
Author: Karl-Fredrik Berggren
Publisher: World Scientific
Total Pages: 286
Release: 2001
Genre: Science
ISBN: 9810247117

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Quantum chaos is becoming a very wide field that ranges from experiments to theoretical physics and purely mathematical issues. In view of this grand span, Nobel Symposium 116 focused on experiments and theory, and attempted to encourage interplay between them. There was emphasis on the interdisciplinary character of the subject, involving a broad range of subjects in physics, including condensed matter physics, nuclear physics, atomic physics and elementary particle physics. The physics involved in quantum chaos has much in common with acoustics, microwaves, optics, etc., and therefore the symposium also covered aspects of wave chaos in this broader sense. The program was structured according to the following areas: manifestations of classical chaos in quantum systems; transport phenomena; quantal spectra in terms of periodic orbits; semiclassical and random matrix approaches; quantum chaos in interacting systems; chaos and tunneling; wave-dynamic chaos. This important book constitutes the proceedings of the symposium.