New Directions in Quantum Chaos
Author | : Giulio Casati |
Publisher | : IOS Press |
Total Pages | : 554 |
Release | : 2000 |
Genre | : Optoelectronics |
ISBN | : 9784274903663 |
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Author | : Giulio Casati |
Publisher | : IOS Press |
Total Pages | : 554 |
Release | : 2000 |
Genre | : Optoelectronics |
ISBN | : 9784274903663 |
Author | : Società italiana di fisica |
Publisher | : IOS Press |
Total Pages | : 548 |
Release | : 2000 |
Genre | : Science |
ISBN | : 1614992282 |
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.
Author | : K. Nakamura |
Publisher | : Springer Science & Business Media |
Total Pages | : 224 |
Release | : 2006-04-11 |
Genre | : Science |
ISBN | : 0306471213 |
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 | : Matthew Wright |
Publisher | : Cambridge University Press |
Total Pages | : 285 |
Release | : 2010-07-26 |
Genre | : Science |
ISBN | : 1139491547 |
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.
Author | : Martin C. Gutzwiller |
Publisher | : Springer Science & Business Media |
Total Pages | : 445 |
Release | : 2013-11-27 |
Genre | : Mathematics |
ISBN | : 1461209838 |
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 | : Katsuhiro Nakamura |
Publisher | : |
Total Pages | : 228 |
Release | : 2004 |
Genre | : Mesoscopic phenomena (Physics). |
ISBN | : 9780198525899 |
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.
Author | : G. Casati |
Publisher | : Elsevier |
Total Pages | : 437 |
Release | : 2015-08-11 |
Genre | : Science |
ISBN | : 1483290328 |
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.
Author | : Linda Reichl |
Publisher | : Springer Nature |
Total Pages | : 555 |
Release | : 2021-04-12 |
Genre | : Science |
ISBN | : 3030635341 |
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 | : Piotr Garbaczewski |
Publisher | : Springer Science & Business Media |
Total Pages | : 505 |
Release | : 2002-11-07 |
Genre | : Science |
ISBN | : 3540441115 |
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.
Author | : Katsuhiro Nakamura |
Publisher | : CUP Archive |
Total Pages | : 228 |
Release | : 1994-06-02 |
Genre | : Mathematics |
ISBN | : 9780521467469 |
Past studies on chaos have been concerned with classical systems but this book is one of the first to deal with quantum chaos.