An Introduction
Series: Graduate Texts in Physics
Wimberger, Sandro
2014, XIII, 206 p. 75 illus., 7 illus. in color.
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The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.
Content Level » Graduate
Keywords » EKB Quantization - Gutzwiller's Trace Formula - Hamilton-Jacobi Theory - KAM Theorem - Kolmogorov-Sinai Entropy - Liouville's Theorem - Lyapunov Exponent - Nonlinear Dynamical Systems - Poincare-Birkhoff Theorem - Quantum Systems - WKBJ Approximation - Weyl Transform
Related subjects » Classical Continuum Physics - Dynamical Systems & Differential Equations - Statistical Physics & Dynamical Systems - Theoretical, Mathematical & Computational Physics
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