Titlebook: Nonlinear Dynamics and Quantum Chaos; An Introduction Sandro Wimberger Textbook 2014 Springer International Publishing Switzerland 2014 EKB

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Graduate Texts in Physicshttp://image.papertrans.cn/n/image/667428.jpg

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https://doi.org/10.1007/978-3-319-06343-0EKB Quantization; Gutzwiller‘s Trace Formula; Hamilton-Jacobi Theory; KAM Theorem; Kolmogorov-Sinai Entr

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Sandro WimbergerCarefully selected problems set for each chapter.The balance between classical and quantum part is a novel feature among textbooks addressing the same audience.Endorsed by Giulio Casati, one of the le

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Introduction,We set the stage for our discussion of classical and quantum dynamical systems. Important notions are introduced, and similarities and differences of classical and quantum descriptions are sketched.

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Dynamical Systems,Dynamical systems are formally defined—may they be classical or quantum. We introduce important concepts for the analysis of classical nonlinear systems. In order to focus on the essential questions, this chapter restricts to one-dimensional discrete maps as relatively simple examples of dynamical systems.

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