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 / J. Bellissard [and others] ; editor, S. Graffi.
Contributor(s): Bellissard, J. (Jean) | Graffi, S. (Sandro) | Centro internazionale matematico estivoMaterial type: TextSeries: Lecture notes in mathematics (Springer-Verlag): 1589.Publisher: Berlin ; New York : Springer-Verlag, ©1994Description: 1 online resource (192 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540487821; 3540487824Subject(s): Quantum theory | Chaotic behavior in systems | Théorie quantique -- Congrès | Chaos -- Congrès | Chaotic behavior in systems | Quantum theory | Chaos | Kwantummechanica | Chaostheorie | Kongress | Dynamisches System | Chaotisches System | Quantenchaos | Quantenmechanik | Sistemas DinamicosGenre/Form: Electronic books. Additional physical formats: Print version:: Transition to chaos in classical and quantum mechanics.DDC classification: 530.1/2 LOC classification: QA3 | .L28 no. 1589 | QC174.12Other classification: 31.55 Online resources: Click here to access online
|Item type||Current location||Collection||Call number||Status||Date due||Barcode||Item holds|
Includes bibliographical references.
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 Schrdinger 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.
Use copy Restrictions unspecified star MiAaHDL
Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
Print version record.
Non commutative methods in semiclassical analysis -- Equidistribution of periodic orbits: An overview of classical VS quantum results -- Action minimizing orbits in hamiltomian systems.