The Transition to Chaos

Conservative Classical Systems and Quantum Manifestations

Linda Reichl (Autor)

Buch | Softcover

675 Seiten

2011 | Softcover reprint of the original 2nd ed. 2004
Springer-Verlag New York Inc.
978-1-4419-3163-4 (ISBN)

Titel erscheint in neuer Auflage

Artikel merken

Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.

1. Overview / 2. Fundamental Concepts / 3. Area Preserving Maps / 4. Global Properties / 5. Random Matrix Theory / 6. Bounded Quantum Systems / 7. Manifestations of Chaos in Quantum Scattering Processes / 8. Semi-Classical Theory -- Path Integrals / 9. Time-Periodic Systems / 10. Stochastic Manifestations of Chaos / Appendices.

Reihe/Serie	Institute for Nonlinear Science
Zusatzinfo	7 Tables, black and white; 154 Illustrations, black and white; XVIII, 675 p. 154 illus.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1050 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
ISBN-10	1-4419-3163-5 / 1441931635
ISBN-13	978-1-4419-3163-4 / 9781441931634
Zustand	Neuware