Overview
- A thorough, comprehensive discussion of classical and quantum chaos theory with applications ranging from atomic dynamics to the structure of galaxies
- Specific discussions include mechanisms for the onset of classical and quantum chaos, KAM theory, classical and quantum scattering theory for chaotic systems, Arnol’d diffusion in classical and quantum systems, random matrix theory, thermalization of quantum systems, The dynamics of atomic and molecular systems in the presence of time-periodic radiation fields
- Text is self-contained and appendices help provide much of the needed background in mathematics
Part of the book series: Fundamental Theories of Physics (FTPH, volume 200)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The classical and quantum dynamics of conservative systems governs the behavior of much of the world around us - from the dynamics of galaxies to the vibration and electronic behavior of molecules and the dynamics of systems formed from or driven by laser radiation. Most conservative dynamical systems contain some degree of chaotic behavior, ranging from a self-similar mixture of regular and chaotic motion, to fully developed chaos. This chaotic behavior has a profound effect on the dynamics.
This book combines mathematical rigor with examples that illuminate the dynamical theory of chaotic systems. The emphasis of the 3rd Edition is on topics of modern interest, including scattering systems formed from molecules and nanoscale quantum devices, quantum control and destabilization of systems driven by laser radiation, and thermalization of condensed matter systems. The book is written on a level accessible to graduate students and to the general research community.
Authors and Affiliations
About the author
Linda E. Reichl, Ph.D., is a Professor of Physics at the University of Texas at Austin and is co-Director of the Center for Complex Quantum Systems. She has authored numerous papers on classical and quantum chaos theory and is author of the textbook “A Modern Course in Statistical Physics”, now in its fourth edition. She was elected a Fellow of the American Physical Society in 2000 for “original work in the field of quantum chaos”.
Bibliographic Information
Book Title: The Transition to Chaos
Book Subtitle: Conservative Classical and Quantum Systems
Authors: Linda Reichl
Series Title: Fundamental Theories of Physics
DOI: https://doi.org/10.1007/978-3-030-63534-3
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-63533-6Published: 13 April 2021
Softcover ISBN: 978-3-030-63536-7Published: 14 April 2022
eBook ISBN: 978-3-030-63534-3Published: 12 April 2021
Series ISSN: 0168-1222
Series E-ISSN: 2365-6425
Edition Number: 3
Number of Pages: XIV, 555
Number of Illustrations: 176 b/w illustrations
Topics: Statistical Physics and Dynamical Systems, Complex Systems, Dynamical Systems and Ergodic Theory