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Title
Transition to chaos : conservative classical and quantum systems / Linda Reichl.
Edition
Third edition.
ISBN
9783030635343 (electronic bk.)
3030635341 (electronic bk.)
9783030635336
3030635333
Published
Cham : Springer, [2021]
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-63534-3 doi
Call Number
Q172.5.C45
Dewey Decimal Classification
003/.857
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. 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.
Bibliography, etc. Note
Includes bibliographical references and indexes.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 22, 2021).
Series
Fundamental theories of physics ; v. 200. 0168-1222
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.
