Synopses & Reviews
This volume provides a comprehensive and highly accessible introduction to quantum chaos. It emphasizes both the experimental and theoretical aspects of quantum chaos, and includes a discussion of supersymmetry techniques. Theoretical concepts are developed clearly and illustrated by numerous experimental or numerical examples. The author also shares the first-hand insights that he gleaned from his initiation of the microwave billiard experiments. Additional topics covered include the random matrix theory, systems with periodic time dependences, the analogy between the dynamics of a one-dimensional gas with a repulsive interaction and spectral level dynamics where an external parameter takes the role of time, scattering theory distributions and fluctuation, properties of scattering matrix elements, semiclassical quantum mechanics, periodic orbit theory, and the Gutzwiller trace formula. This book is an invaluable resource for graduate students and researchers working in quantum chaos.
Review
"At present this seems to be the best textbook on quantum chaos. It strikes the right balance between the presentation of theory and experiment." Pageoph"Reading Stöckmann's monograph gives a good picture of the most important results that the idea of quantum chaos has generated in the last three decades." American Journal of Physics"A remarkable work, reflecting the growth and excitement of the field and containing something for almost everyone interested in chaos theory and experiment...The style and clarity of writing are both excellent...the book is valuable and will fast become a 'must have' for those with an interest in quantum chaos." Physics Today
Synopsis
Discusses quantum chaos, an important area of nonlinear science.
Synopsis
This book introduces the quantum mechanics of classically chaotic systems, or quantum chaos for short. The authorâs philosophy has been to keep the discussion simple and illustrate theory, wherever possible, with experimental or numerical examples. It will be of great value to anyone working in quantum chaos.
Description
Includes bibliographical references (p. 344-364) and index.
Table of Contents
'Preface; 1. Introduction; 2. Billiard experiments; 3. Random matrices; 4. Floquet and tight-binding systems; 5. Eigenvalue dynamics; 6. Scattering systems; 7. Semiclassical quantum mechanics; 8. Applications of periodic orbit theory; References; Index.\n
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