Blick ins Buch

Transition to Chaos in Classical and Quantum Mechanics

Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 6 - 13, 1991

Sandro Graffi (Herausgeber)

Buch | Softcover

VIII, 196 Seiten

1994
Springer Berlin (Verlag)
978-3-540-58416-2 (ISBN)

Lese- und Medienproben

Inhaltsverzeichnis (PDF)

Artikel merken

The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics.The lectures of Mather and Forni thoroughly cover the area- preserving twist maps, and include an up-to-date version of the Aubry-Mather theory.The lectures of Bellissard describe the quantum aspects: classical limit, localization, spectral properties of the relevant Schrödinger operators and thus represent an exhaus- tive introduction to the mathematics of "quantum chaos". The lectures of Degli Esposti et al. reviews equidistribu- tion of unstable periodic orbits and classical limit of quantized toral symplectomorphisms.

Non commutative methods in semiclassical analysis.- Equidistribution of periodic orbits: An overview of classical VS quantum results.- Action minimizing orbits in hamiltomian systems.

Erscheint lt. Verlag	26.9.1994
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Co-Autor	J. Bellissard, M. Degli Esposti, G. Forni, Sandro Graffi, S. Isola, J.N. Mather
Zusatzinfo	VIII, 196 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	316 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
Schlagworte	Aubry-Mather sets • classical limit • Hardcover, Softcover / Mathematik/Analysis • Non commutative methods • periodic orbits • Quantum Chaos • quantum mechanics
ISBN-10	3-540-58416-1 / 3540584161
ISBN-13	978-3-540-58416-2 / 9783540584162
Zustand	Neuware