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The Transition to Chaos
Conservative Classical and Quantum Systems
Buch von Linda Reichl
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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".

Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2021
Fachbereich: Theoretische Physik
Genre: Mathematik, Medizin, Naturwissenschaften, Physik, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xiv
555 S.
176 s/w Illustr.
555 p. 176 illus.
ISBN-13: 9783030635336
ISBN-10: 3030635333
Sprache: Englisch
Einband: Gebunden
Autor: Reichl, Linda
Auflage: Third Edition 2021
Hersteller: Springer International Publishing
Springer International Publishing AG
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 37 mm
Von/Mit: Linda Reichl
Erscheinungsdatum: 13.04.2021
Gewicht: 1,016 kg
Artikel-ID: 119076880
Über den Autor

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".

Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2021
Fachbereich: Theoretische Physik
Genre: Mathematik, Medizin, Naturwissenschaften, Physik, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xiv
555 S.
176 s/w Illustr.
555 p. 176 illus.
ISBN-13: 9783030635336
ISBN-10: 3030635333
Sprache: Englisch
Einband: Gebunden
Autor: Reichl, Linda
Auflage: Third Edition 2021
Hersteller: Springer International Publishing
Springer International Publishing AG
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 37 mm
Von/Mit: Linda Reichl
Erscheinungsdatum: 13.04.2021
Gewicht: 1,016 kg
Artikel-ID: 119076880
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