Téléchargez le livre : Quantum Signatures of Chaos

Quantum Signatures of Chaos

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Éditeur :

Springer


Collection :

Springer Series in Synergetics

Paru le : 2019-02-18

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Description
This by now classic text provides an excellent introduction to and survey of the still-expanding field of quantum chaos. For this long-awaited fourth edition, the original text has been thoroughly modernized.

The topics include a brief introduction to classical Hamiltonian chaos, a detailed exploration of the quantum aspects of nonlinear dynamics, quantum criteria used to distinguish regular and irregular motion, and antiunitary (generalized time reversal) and unitary symmetries. The standard Wigner-Dyson symmetry classes, as well as the non-standard ones introduced by Altland and Zirnbauer, are investigated and illustrated with numerous examples. Random matrix theory is presented in terms of both classic methods and the supersymmetric sigma model. The power of the latter method is revealed by applications outside random-matrix theory, such as to quantum localization, quantum graphs, and universal spectral fluctuations of individual chaotic dynamics. The equivalence of the sigma model and Gutzwiller’s semiclassical periodic-orbit theory is demonstrated. Last but not least, the quantum mechanics of dissipative chaotic systems are also briefly described.  

Each chapter is accompanied by a selection of problems that will help newcomers test and deepen their understanding, and gain a firm command of the methods presented.
Pages
659 pages
Collection
Springer Series in Synergetics
Parution
2019-02-18
Marque
Springer
EAN papier
9783319975795
EAN PDF
9783319975801
Informations sur l'ebook
Nombre pages copiables
6
Nombre pages imprimables
65
Taille du fichier
12769 Ko
Prix
168,79 €
EAN EPUB
9783319975801
Informations sur l'ebook
Nombre pages copiables
6
Nombre pages imprimables
65
Taille du fichier
36250 Ko
Prix
168,79 €

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