Many Body Quantum Chaos

Many Body Quantum Chaos PDF Author: Sandro Wimberger
Publisher: Mdpi AG
ISBN: 9783039368327
Category : Mathematics
Languages : en
Pages : 222

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Book Description
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.

Many Body Quantum Chaos

Many Body Quantum Chaos PDF Author: Sandro Wimberger
Publisher: Mdpi AG
ISBN: 9783039368327
Category : Mathematics
Languages : en
Pages : 222

Get Book Here

Book Description
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.

Chaos in Classical and Quantum Mechanics

Chaos in Classical and Quantum Mechanics PDF Author: Martin C. Gutzwiller
Publisher: Springer Science & Business Media
ISBN: 1461209838
Category : Mathematics
Languages : en
Pages : 445

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Book Description
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.

The Three-Body Problem

The Three-Body Problem PDF Author: Cixin Liu
Publisher: Tor Books
ISBN: 1466853441
Category : Fiction
Languages : en
Pages : 400

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Book Description
The inspiration for the Netflix series 3 Body Problem! WINNER OF THE HUGO AWARD FOR BEST NOVEL Over 1 million copies sold in North America “A mind-bending epic.”—The New York Times • “War of the Worlds for the 21st century.”—The Wall Street Journal • “Fascinating.”—TIME • “Extraordinary.”—The New Yorker • “Wildly imaginative.”—Barack Obama • “Provocative.”—Slate • “A breakthrough book.”—George R. R. Martin • “Impossible to put down.”—GQ • “Absolutely mind-unfolding.”—NPR • “You should be reading Liu Cixin.”—The Washington Post The Three-Body Problem is the first novel in the groundbreaking, Hugo Award-winning series from China's most beloved science fiction author, Cixin Liu. Set against the backdrop of China's Cultural Revolution, a secret military project sends signals into space to establish contact with aliens. An alien civilization on the brink of destruction captures the signal and plans to invade Earth. Meanwhile, on Earth, different camps start forming, planning to either welcome the superior beings and help them take over a world seen as corrupt, or to fight against the invasion. The result is a science fiction masterpiece of enormous scope and vision. The Three-Body Problem Series The Three-Body Problem The Dark Forest Death's End Other Books by Cixin Liu Ball Lightning Supernova Era To Hold Up the Sky The Wandering Earth A View from the Stars At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

The Three-Body Problem

The Three-Body Problem PDF Author: Mauri J. Valtonen
Publisher: Cambridge University Press
ISBN: 9780521852241
Category : Mathematics
Languages : en
Pages : 366

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Book Description
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.

A Chronicle Of Chaos

A Chronicle Of Chaos PDF Author: D.M. Cain
Publisher: Next Chapter
ISBN:
Category : Fiction
Languages : en
Pages : 365

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Book Description
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?

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

Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems PDF Author: B.A. Steves
Publisher: Springer Science & Business Media
ISBN: 1402047061
Category : Science
Languages : en
Pages : 342

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Book Description
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 in Astronomy

Chaos in Astronomy PDF Author: G. Contopoulos
Publisher: Springer Science & Business Media
ISBN: 3540758267
Category : Science
Languages : en
Pages : 493

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Book Description
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.

Chaos in Circuits and Systems

Chaos in Circuits and Systems PDF Author: Guanrong Chen
Publisher: World Scientific
ISBN: 9810249330
Category : Technology & Engineering
Languages : en
Pages : 656

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Book Description
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.

Order and Chaos in Dynamical Astronomy

Order and Chaos in Dynamical Astronomy PDF Author: George Contopoulos
Publisher: Springer Science & Business Media
ISBN: 3662049171
Category : Science
Languages : en
Pages : 633

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Book Description
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.

Chaos

Chaos PDF Author: Kathleen T. Alligood
Publisher: Springer Science & Business Media
ISBN: 0387946772
Category : Mathematics
Languages : en
Pages : 612

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Book Description
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.