The Transition to Chaos: Conservative Classical and Quantum Systems

Author:   Linda Reichl
Publisher:   Springer Nature Switzerland AG
Edition:   3rd ed. 2021
Volume:   200
ISBN:  

9783030635367


Pages:   555
Publication Date:   14 April 2022
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Transition to Chaos: Conservative Classical and Quantum Systems


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Overview

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.  

Full Product Details

Author:   Linda Reichl
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   3rd ed. 2021
Volume:   200
Weight:   0.866kg
ISBN:  

9783030635367


ISBN 10:   3030635368
Pages:   555
Publication Date:   14 April 2022
Audience:   Adult education ,  Professional and scholarly ,  Further / Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Overview.- Fundamental Concepts.- Classical Chaos as seen in area preserving maps.- Global properties of 2DofF.- Global properties of systems with 3 or more DoF.- Semiclassical Theory – Path Integrals.- Manifestations of chaos in scattering processes (classical and quantum).- Time periodically driven systems.- Stochastic manifestations of chaos.- Appendices: Random matrix theory, Symmetries and invariant measures.

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Author Information

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”.  

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