Nonlinear Dynamics and Quantum Chaos

Nonlinear Dynamics and Quantum Chaos

Author: Sandro Wimberger

Publisher: Springer Nature

Published: 2023-01-01

Total Pages: 270

ISBN-13: 3031012496

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This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. This second edition includes additional material and in particular a new chapter on dissipative nonlinear systems. The book provides a thorough and modern introduction to the concepts of dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It is based on lectures on classical and quantum chaos held by the author at Heidelberg and Parma University. The book contains exercises and worked examples, which make it ideal for an introductory course for students as well as for researchers starting to work in the field.


Nonlinear Fields: Classical Random Semiclassical: Karpacz 91 - Proceedings Of The Xxvii Winter School Of Theoretical Physics

Nonlinear Fields: Classical Random Semiclassical: Karpacz 91 - Proceedings Of The Xxvii Winter School Of Theoretical Physics

Author: Piotr Garbaczewski

Publisher: World Scientific

Published: 1991-09-02

Total Pages: 722

ISBN-13: 9814556262

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Main themes are complete integrability, bi-Hamiltonian structures, hierarchies, impact on string theory, links with quantum groups, random perturbations of deterministic dynamics and the onset of stochasticity/chaos/ in case of particle motion, and the relation between randomness and quantisation.


Nonlinear Dynamics, Chaotic and Complex Systems

Nonlinear Dynamics, Chaotic and Complex Systems

Author: Eryk Infeld

Publisher: Cambridge University Press

Published: 1997-06-19

Total Pages: 358

ISBN-13: 9780521582018

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The physics and mathematics of nonlinear dynamics, chaotic and complex systems constitute some of the most fascinating developments of late twentieth century science. It turns out that chaotic bahaviour can be understood, and even utilized, to a far greater degree than had been suspected. Surprisingly, universal constants have been discovered. The implications have changed our understanding of important phenomena in physics, biology, chemistry, economics, medicine and numerous other fields of human endeavor. In this book, two dozen scientists and mathematicians who were deeply involved in the "nonlinear revolution" cover most of the basic aspects of the field.


Nonlinear Dynamics and Computational Physics

Nonlinear Dynamics and Computational Physics

Author: V. B. Sheorey

Publisher: Alpha Science Int'l Ltd.

Published: 1999

Total Pages: 264

ISBN-13: 9788173192838

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The 24 articles presented in this volume cover emerging areas in nonlinear dynamics. They discuss a range of topics, from chaotic quantum systems to nonlinear dynamics of the earth's magnetosphere and from microscopic chaos and nonequilibrium statistical mechanics to nonlinear dynamics of human brain activity. The articles are written by leading researchers both from India and other countries. It is hoped that the volume will provide information and inspiration, and suggest new research directions, both to the expert and novice alike.


Waves and Imaging through Complex Media

Waves and Imaging through Complex Media

Author: P. Sebbah

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 452

ISBN-13: 9401009759

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Recent advances in wave propagation in random media are certainly consequences of new approaches to fundamental issues, as well as of a strong interest in potential applications. A collective effort has been made to present in this book the state of the art in fundamental concepts, as well as in biomedical imaging techniques. As an example, the recent introduction of wave chaos, and more specifically random matrix theory - an old tool from nuclear physics - to the study of multiple scattering, has pointed the way to a deeper understanding of wave coherence in complex media. At the same time, efficient new approaches for retrieving information from random media promise to allow wave imaging of small tumors in opaque tissues. Review chapters are written by experts in the field, with the aim of making the book accessible to the widest possible scientific audience: graduate students and research scientists in theoretical and applied physics, optics, acoustics, and biomedical physics.


Proceedings of the International Conference of Computational Methods in Sciences and Engineering 2003 (ICCMSE 2003)

Proceedings of the International Conference of Computational Methods in Sciences and Engineering 2003 (ICCMSE 2003)

Author: T. E. Simos

Publisher: World Scientific

Published: 2003

Total Pages: 724

ISBN-13: 9789812704658

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In the past few decades, many significant insights have been gained into several areas of computational methods in sciences and engineering. New problems and methodologies have appeared in some areas of sciences and engineering. There is always a need in these fields for the advancement of information exchange. The aim of this book is to facilitate the sharing of ideas, problems and methodologies between computational scientists and engineers in several disciplines. Extended abstracts of papers on the recent advances regarding computational methods in sciences and engineering are provided. The book briefly describes new methods in numerical analysis, computational mathematics, computational and theoretical physics, computational and theoretical chemistry, computational biology, computational mechanics, computational engineering, computational medicine, high performance computing, etc.