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FUNDAMENTAL THEORIES OF PHYSICS: TRANSITION TO CHAOS 3

Physics

Mathematics & Science

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B2B GT

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B2B & B2C

<P>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.</P>

The Transition to Chaos: Conservative Classical and Quantum Systems

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The Transition to Chaos

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Front Cover.
Other Frontmatter.
Other Frontmatter.
Title Page.
Copyright Page.
Acknowledgements.
Contents.
1: Overview.
2: Fundamental Concepts.
3: Area-Preserving Maps.
4: Chaotic Scattering.
5: Arnol&#x2019;d Diffusion.
6: Quantum Dynamics and Random Matrix Theory.
7: Bounded Quantum Systems.
8: Manifestations of Chaos in Quantum Scattering Processes.
9: Semiclassical Theory: Path Integrals.
10: Time-Periodic Quantum Systems.
Appendix A: Classical Mechanics Concepts.
Appendix B: Simple Models.
Appendix C: Symmetries and the Hamiltonian Matrix.
Appendix D: Invariant Measures.
Appendix E: Quaternions.
Appendix F: Gaussian Ensembles.
Appendix G: Circular Ensembles.
Appendix H: Maxwell&#x2019;s Equations for 2-d Billiards.
Appendix I: Moyal Bracket and Wigner Function.
Appendix J: Gaussian, S.I., and Atomic Units.
Appendix K: Hydrogen in a Constant Electric Field.
Author Index.
Subject Index.

The Transition to Chaos: Conservative Classical and Quantum Systems.css-1p8rvzy{position:absolute;padding-left:8px;}

The Transition to Chaos: Conservative Classical and Quantum Systems