Nonlinear Dynamics and Quantum Chaos
An Introduction
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Beschreibung
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. This second edition includes additional material and in particular a new chapter on dissipative nonlinear systems. The book provides a thorough and modern introduction to the concepts of dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It is based on lectures on classical and quantum chaos held by the author at Heidelberg and Parma University. The book contains exercises and worked examples, which make it ideal for an introductory course for students as well as for researchers starting to work in the field.
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. This second edition includes additional material and in particular a new chapter on dissipative nonlinear systems. The book provides a thorough and modern introduction to the concepts of dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It is based on lectures on classical and quantum chaos held by the author at Heidelberg and Parma University. The book contains exercises and worked examples, which make it ideal for an introductory course for students as well as for researchers starting to work in the field.
Presents a clear and concise introduction to the field of nonlinear dynamics and chaos Contains exercises and worked examples, which make it ideal for an introductory course for students Provides the subject in the context of quantum mechanics with quantum chaos
Autor*in
Sandro Wimberger
Themen in »Nonlinear Dynamics and Quantum Chaos«
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 Classical dissipative systems
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“This book comprises a convincing introduction to nonlinear dynamics of conservative and dissipative systems and for the Hamiltonian systems it takes the discussion to their quantum manifestations. The treatment is crystal clear and quite thorough in many parts. … The illustrations are valuable. … The present book gives a lovely introduction and prepares the readers for more detailed treatments. … this is a brilliant introduction with an excellent pedagogical value.” (S. R. Jain, Mathematical Reviews, December, 2024)
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