Order Disorder And Chaos In Quantum Systems PDF Download
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Author | : Exner |
Publisher | : Birkhäuser |
Total Pages | : 349 |
Release | : 2013-03-08 |
Genre | : Science |
ISBN | : 3034873069 |
Download Order,Disorder and Chaos in Quantum Systems Book in PDF, ePub and Kindle
The present volume collects the contributions to the conference "Order, disorder and chaos in quantum systems" which was held at Dubna last October. It is the third meeting in the series started three years ago in which we tried to put together mathematical physicists from the member and non-member countries of JINR with their colleagues from soviet universities and institutes using this international centre as a convenient basis. As in the previous cases, new faces, subj ects and ideas appeared but the spirit remained the same, relaxed and inspirative. Among this conference contributions, a majority should be listed in the "orderly" category. Being more specific, this means mostly various aspects of the theory of Schroedinger operators that has been always a core of quantum mechanics. In spite of the fact that it is studied already for several decades, there are still many interesting problems to solve as some of the lectures collected below witness. At the same time, the theory extends to some new areas motivated by physical problems ; let us mention Schroedinger operators in complicated spatial domains appearing in some parts of solid-state physics or various models using the concept of contact interactions. Our world is far from perfect and to keep a perfect order is difficult not only in everyday life but also in most physical systems. Theoreticians are used to take this fact into account introducing stochastic factors into their considerations.
Author | : Giulio Casati |
Publisher | : Cambridge University Press |
Total Pages | : 703 |
Release | : 1995-04-27 |
Genre | : Mathematics |
ISBN | : 052143291X |
Download Quantum Chaos Book in PDF, ePub and Kindle
This book provides a comprehensive overview of our understanding of chaotic behaviour in quantum systems.
Author | : Pavel Exner |
Publisher | : Birkhäuser |
Total Pages | : 360 |
Release | : 2012-03-14 |
Genre | : Science |
ISBN | : 9783034873079 |
Download Order,Disorder and Chaos in Quantum Systems Book in PDF, ePub and Kindle
The present volume collects the contributions to the conference "Order, disorder and chaos in quantum systems" which was held at Dubna last October. It is the third meeting in the series started three years ago in which we tried to put together mathematical physicists from the member and non-member countries of JINR with their colleagues from soviet universities and institutes using this international centre as a convenient basis. As in the previous cases, new faces, subj ects and ideas appeared but the spirit remained the same, relaxed and inspirative. Among this conference contributions, a majority should be listed in the "orderly" category. Being more specific, this means mostly various aspects of the theory of Schroedinger operators that has been always a core of quantum mechanics. In spite of the fact that it is studied already for several decades, there are still many interesting problems to solve as some of the lectures collected below witness. At the same time, the theory extends to some new areas motivated by physical problems ; let us mention Schroedinger operators in complicated spatial domains appearing in some parts of solid-state physics or various models using the concept of contact interactions. Our world is far from perfect and to keep a perfect order is difficult not only in everyday life but also in most physical systems. Theoreticians are used to take this fact into account introducing stochastic factors into their considerations.
Author | : Linda Reichl |
Publisher | : Springer Nature |
Total Pages | : 555 |
Release | : 2021-04-12 |
Genre | : Science |
ISBN | : 3030635341 |
Download The Transition to Chaos Book in PDF, ePub and Kindle
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 | : P. Cvitanovic |
Publisher | : Springer Science & Business Media |
Total Pages | : 325 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 9401579792 |
Download Quantum Chaos — Quantum Measurement Book in PDF, ePub and Kindle
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 | : Linda Reichl |
Publisher | : Springer Science & Business Media |
Total Pages | : 692 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 1475743505 |
Download The Transition to Chaos Book in PDF, ePub and Kindle
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 | : Igor V. Lerner |
Publisher | : Springer Science & Business Media |
Total Pages | : 399 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461548756 |
Download Supersymmetry and Trace Formulae Book in PDF, ePub and Kindle
The motion of a particle in a random potential in two or more dimensions is chaotic, and the trajectories in deterministically chaotic systems are effectively random. It is therefore no surprise that there are links between the quantum properties of disordered systems and those of simple chaotic systems. The question is, how deep do the connec tions go? And to what extent do the mathematical techniques designed to understand one problem lead to new insights into the other? The canonical problem in the theory of disordered mesoscopic systems is that of a particle moving in a random array of scatterers. The aim is to calculate the statistical properties of, for example, the quantum energy levels, wavefunctions, and conductance fluctuations by averaging over different arrays; that is, by averaging over an ensemble of different realizations of the random potential. In some regimes, corresponding to energy scales that are large compared to the mean level spacing, this can be done using diagrammatic perturbation theory. In others, where the discreteness of the quantum spectrum becomes important, such an approach fails. A more powerful method, devel oped by Efetov, involves representing correlation functions in terms of a supersymmetric nonlinear sigma-model. This applies over a wider range of energy scales, covering both the perturbative and non-perturbative regimes. It was proved using this method that energy level correlations in disordered systems coincide with those of random matrix theory when the dimensionless conductance tends to infinity.
Author | : K. Nakamura |
Publisher | : Springer Science & Business Media |
Total Pages | : 224 |
Release | : 2006-04-11 |
Genre | : Science |
ISBN | : 0306471213 |
Download Quantum versus Chaos Book in PDF, ePub and Kindle
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 | : Philip Stehle |
Publisher | : Oxford University Press, USA |
Total Pages | : 352 |
Release | : 1994 |
Genre | : Language Arts & Disciplines |
ISBN | : |
Download Order, Chaos, Order Book in PDF, ePub and Kindle
Explores the confusion among physicists at the beginning of the 20th century when experimental findings kept not fitting into their mechanical view of the universe, the theoretical speculations and experimental innovations they responded with, and the new science that emerged. The mathematical details are set apart in boxes to allow nontechnical readers to engage the flow of the narrative uninterrupted. Paper edition (unseen), $29.95. Annotation copyright by Book News, Inc., Portland, OR
Author | : Konstantin Efetov |
Publisher | : Cambridge University Press |
Total Pages | : 470 |
Release | : 1999-09-13 |
Genre | : Mathematics |
ISBN | : 9780521663823 |
Download Supersymmetry in Disorder and Chaos Book in PDF, ePub and Kindle
This book provides a comprehensive treatment of the ideas and applications of supersymmetry.