Classical Nonintegrability Quantum Chaos
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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.
Classical Nonintegrability Quantum Chaos
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Author : Andreas Knauf
language : en
Publisher:
Release Date : 1996
Classical Nonintegrability Quantum Chaos written by Andreas Knauf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
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 Non Integrability
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Author : Da-hsuan Feng
language : en
Publisher: World Scientific
Release Date : 1992-09-30
Quantum Non Integrability written by Da-hsuan Feng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-09-30 with categories.
Recent developments in nonlinear dynamics has significantly altered our basic understanding of the foundations of classical physics. However, it is quantum mechanics, not classical mechanics, which describes the motion of the nucleons, atoms, and molecules in the microscopic world. What are then the quantum signatures of the ubiquitous chaotic behavior observed in classical physics? In answering this question one cannot avoid probing the deepest foundations connecting classical and quantum mechanics. This monograph reviews some of the most current thinkings and developments in this exciting field of physics.
New Directions In Quantum Chaos
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Author : Società italiana di fisica
language : en
Publisher: IOS Press
Release Date : 2000
New Directions In Quantum Chaos written by Società italiana di fisica and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
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.
Irregular Atomic Systems And Quantum Chaos
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Author : Jean-Claude Gay
language : en
Publisher: CRC Press
Release Date : 1992
Irregular Atomic Systems And Quantum Chaos written by Jean-Claude Gay and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
Deals with the study of irregular behavior in few-body systems, with emphasis on the aspects of atomic physics. Areas covered include the atom in a magnetic field, microwave ionization of Rydberg atoms, and quasi-Wigner crystals in ion traps. All but one of the papers first appeared in volume 25 of the journal Comments on atomic and molecular physics. No index. Annotation copyrighted by Book News, Inc., Portland, OR
A Collection Of Papers On Chaos Theory And Its Applications
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Author : Paul Bracken
language : en
Publisher: BoD – Books on Demand
Release Date : 2021-04-14
A Collection Of Papers On Chaos Theory And Its Applications written by Paul Bracken and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-14 with Mathematics categories.
This current volume contains 12 new papers on the subject of chaos in the physical sciences, which was initiated with the publication of the book Research Advances in Chaos Theory. It is clear the subject continues to attract a great deal of attention among scientists in the scientific community. This volume looks at such problems as chaos in nonlinear systems, in dynamical systems, quantum chaos, biological applications, and a few new emerging areas as well.
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.
Research Advances In Chaos Theory
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Author : Paul Bracken
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-03-11
Research Advances In Chaos Theory written by Paul Bracken and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-11 with Mathematics categories.
The subject of chaos has invaded practically every area of the natural sciences. Weather patterns are referred to as chaotic. There are chemical reactions and chaotic evolution of insect populations. Atomic and molecular physics have also seen the emergence of the study of chaos in these microscopic domains. This book examines the issue of chaos in nonlinear and dynamical systems, quantum mechanics, biology, and economics.
Trends In Nano And Micro Cavities
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Author : O'Dae Kwon
language : en
Publisher: Bentham Science Publishers
Release Date : 2011-09-10
Trends In Nano And Micro Cavities written by O'Dae Kwon and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-10 with Technology & Engineering categories.
This ebook is a collection of cutting edge articles from the 2009 Workshop on Microcavities and their Applications (WOMA 2009). It gives readers an overview of state-of-the-art opto electronic research on nano and micro cavities presented by leading exper