Many Body Quantum Chaos
Many Body Quantum Chaos

Author: Sandro Wimberger

Publisher: Mdpi AG

Published: 2020-10-02

Total Pages: 222

ISBN-13: 9783039368327

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The field of chaos in many-body quantum systems has a long history, going back to Wigner's simple models for heavy nuclei. Quantum chaos is being investigated in a broad variety of experimental platforms such as heavy nuclei, driven (few-electron) atoms, ultracold quantum gases, and photonic or microwave realizations. Quantum chaos plays a new and important role in many branches of physics, from condensed matter problems of many-body localization, including thermalization studies in closed and open quantum systems, and the question of dynamical stability relevant for quantum information and quantum simulation. This Special Issue and its related book address theories and experiments, methods from classical chaos, semiclassics, and random matrix theory, as well as many-body condensed matter physics. It is dedicated to Prof. Shmuel Fishman, who was one of the major representatives of the field over almost four decades, who passed away in 2019.

Order and Chaos in Dynamical Astronomy
Order and Chaos in Dynamical Astronomy

Author: George Contopoulos

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 633

ISBN-13: 3662049171

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This book is one of the first to provide a general overview of order and chaos in dynamical astronomy. The progress of the theory of chaos has a profound impact on galactic dynamics. It has even invaded celestial mechanics, since chaos was found in the solar system which in the past was considered as a prototype of order. The book provides a unifying approach to these topics from an author who has spent more than 50 years of research in the field. The first part treats order and chaos in general. The other two parts deal with order and chaos in galaxies and with other applications in dynamical astronomy, ranging from celestial mechanics to general relativity and cosmology.

Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems
Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems

Author: B.A. Steves

Publisher: Springer Science & Business Media

Published: 2006-09-22

Total Pages: 342

ISBN-13: 1402047061

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Based on the recent NATO Advanced Study Institute "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", this state of the art textbook, written by internationally renowned experts, provides an invaluable reference volume for all students and researchers in gravitational n-body systems. The contributions are especially designed to give a systematic development from the fundamental mathematics which underpin modern studies of ordered and chaotic behaviour in n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.

Chaos
Chaos

Author: Kathleen T. Alligood

Publisher: Springer Science & Business Media

Published: 2000-09-27

Total Pages: 612

ISBN-13: 0387946772

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Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits -- short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed for use with any software package. And each chapter ends with a Challenge, guiding students through an advanced topic in the form of an extended exercise.

Chaos in Classical and Quantum Mechanics
Chaos in Classical and Quantum Mechanics

Author: Martin C. Gutzwiller

Publisher: Springer Science & Business Media

Published: 2013-11-27

Total Pages: 445

ISBN-13: 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.

Chaos
Chaos

Author: Hans Jürgen Korsch

Publisher: Springer Science & Business Media

Published: 2007-12-06

Total Pages: 353

ISBN-13: 3540748679

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This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems. It does so through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying disk. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant physical systems quickly on their PCs, without distraction from algorithmic details. For the third edition of Chaos: A Program Collection for the PC, each of the previous twelve programs is polished and rewritten in C++ (both Windows and Linux versions are included). A new program treats kicked systems, an important class of two-dimensional problems.

A Chronicle Of Chaos
A Chronicle Of Chaos

Author: D.M. Cain

Publisher: Next Chapter

Published: 2022-01-05

Total Pages: 365

ISBN-13:

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In a realm ravaged by war, The Brotherhood of Shadow and The Children of Light will stop at nothing to destroy each other. Chaos is a warrior who fights for the Children Of The Light, in the name of honor and glory. The demon Anathema has pledged his loyalty to the Brotherhood of Shadows. Arrogant and headstrong, they both believe they're the strongest in the land. The two strike up an intense rivalry, but their obsession to defeat one another only leads them closer together. When the forces of Light and Darkness collide, where will their loyalties lie?

Chaos in Circuits and Systems
Chaos in Circuits and Systems

Author: Guanrong Chen

Publisher: World Scientific

Published: 2002

Total Pages: 656

ISBN-13: 9810249330

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In this volume, leading experts present current achievements in the forefront of research in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this field. It is suitable for readers ranging from graduate students, university professors, laboratory researchers and industrial practitioners to applied mathematicians and physicists in electrical, electronic, mechanical, physical, chemical and biomedical engineering and science.

Chaos in Astronomy
Chaos in Astronomy

Author: G. Contopoulos

Publisher: Springer Science & Business Media

Published: 2009-01-07

Total Pages: 493

ISBN-13: 3540758267

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The conference 'Chaos in Astronomy' was held in Athens on 17-20 Sept. 2007. This book contains edited refereed contributions. It offers an overview to students and newcomers entering various fields of dynamical astronomy.

The Three-Body Problem
The Three-Body Problem

Author: Mauri J. Valtonen

Publisher: Cambridge University Press

Published: 2006-03-02

Total Pages: 366

ISBN-13: 9780521852241

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How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. The book begins by providing an introduction to celestial mechanics, including Lagrangian and Hamiltonian methods, and both the two and restricted three body problems. It then surveys statistical and perturbation methods for the solution of the general three body problem, providing solutions based on combining orbit calculations with semi-analytic methods for the first time. This book should be essential reading for students in this rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level.