Quantum Chaos: An Introduction by Hans-Jürgen Stöckmann (PDF)

Description

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.

User’s Reviews

Editorial Reviews: 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 Book Description Discusses quantum chaos, an important area of nonlinear science.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐So far, this is the best book on the market in Quantum Chaos. It starts though in a bit confusing way, showing “snapshots” of different experimental results which is hard to follow, but it converges to the right mixture of theoretical explanations and experimental data to give some intuition. I think it covers a lot of interesting examples and explains them mathematically pretty well. It is hard to include rigorous math in a topic that is not well defined even nowadays, but you can see the effort of the author to explain the mathematical foundations.

⭐This book is very much written for the experimentalists (it might havebeen nice to put that in the subtitle) and so is of limited use for thosedesiring a general introduction. Nevertheless, the author is certainlycapable of speaking plainly when he wants to and in some ways it’sa shame that he wasn’t the one to write Mehta’s book.

⭐

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