| Dewey Class |
515 |
| Title |
Transition to Chaos in Classical and Quantum Mechanics ([EBook] :) : 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 / / by Jean Bellissard, Mirko Degli Esposti, Giovanni Forni, Sandro Graffi, Stefano Isola, John N. Mather ; edited by Sandro Graffi. |
| Author |
Bellissard, Jean |
| Added Personal Name |
Esposti, Mirko Degli author. |
| Forni, Giovanni author. |
| Graffi, Sandro author. |
| Isola, Stefano author. |
| Mather, John N. author. |
| Graffi, Sandro editor. |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994. |
| Physical Details |
VIII, 196 p. : online resource. |
| Series |
Lecture Notes in Mathematics 0075-8434 ; ; 1589 |
| ISBN |
9783540487821 |
| Summary Note |
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.: |
| Contents note |
Non commutative methods in semiclassical analysis -- Equidistribution of periodic orbits: An overview of classical VS quantum results -- Action minimizing orbits in hamiltomian systems. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/BFb0074073 |
| Links to Related Works |
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