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The Transition to Chaos Linda Reichl

The Transition to Chaos By Linda Reichl

The Transition to Chaos by Linda Reichl


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Summary

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.

The Transition to Chaos Summary

The Transition to Chaos: Conservative Classical and Quantum Systems by Linda Reichl

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 bookcombines 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.


About Linda Reichl

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.


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.

Additional information

NPB9783030635336
9783030635336
3030635333
The Transition to Chaos: Conservative Classical and Quantum Systems by Linda Reichl
New
Hardback
Springer Nature Switzerland AG
2021-04-13
555
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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