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
Herausgegeben:Graffi, Sandro

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 1589
• Verlag: Springer, Berlin
• 1994.
• Seitenzahl: 204
• Erscheinungstermin: 26. September 1994
• Englisch
• Abmessung: 235mm x 155mm x 12mm
• Gewicht: 316g
• ISBN-13: 9783540584162
• ISBN-10: 3540584161
• Artikelnr.: 23888400

Inhaltsangabe

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