Nonlinear Dynamics and Quantum Chaos
An Introduction
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
Carefully 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 leading experts of quantum chaos Includes supplementary material: sn.pub/extras
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
Stimmen zu »Nonlinear Dynamics and Quantum Chaos«
“This book is designed to introduce nonlinear dynamics and quantum chaos in a coherent and succinct presentation. It is aimed at advanced undergraduates and graduate students and is intended to serve as a textbook for a one-semester course. … this book is one of the few that treats the subject in the context of quantum mechanics with quantum chaos. Along the way it provides a modest number of exercises for the student as well as a good bibliography.” (William J. Satzer Jr., zbMATH, Vol. 1365.37001, 2017)
()