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Physics - Statistical Physics & Dynamical Systems | Nonlinear Dynamics and Quantum Chaos

Nonlinear Dynamics and Quantum Chaos

An Introduction

Wimberger, Sandro

2014, XIII, 206 p. 75 illus., 7 illus. in color.

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  • 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

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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