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OverviewThis 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. Full Product DetailsAuthor: Fritz Haake , Sven Gnutzmann , Marek KuśPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 4th ed. 2018 Weight: 1.190kg ISBN: 9783319975795ISBN 10: 331997579 Pages: 659 Publication Date: 28 February 2019 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- Time Reversal and Unitary Symmetries.- Level Repulsion.- Level Clustering.- Random-Matrix Theory.- Supersymmetry and Sigma Model for Random Matrices.- Ballistic Sigma Model for Individual Unitary Maps and Graphs.- Quantum Localization.- Classical Hamiltonian Chaos.- Semiclassical Roles for Classical Orbits.- Level Dynamics.- Dissipative Systems.Reviews“The monograph may be used as a reference book, both for professionals and for teaching purposes. Each chapter is followed by a selection of problem which may be regarded as a test, but also are intended to deepen the reader understanding.” (Piotr Garbaczewski, zbMATH 1414.81001, 2019) The monograph may be used as a reference book, both for professionals and for teaching purposes. Each chapter is followed by a selection of problem which may be regarded as a test, but also are intended to deepen the reader understanding. (Piotr Garbaczewski, zbMATH 1414.81001, 2019) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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