Nonlinear Dynamics and Quantum Chaos
Springer International Publishing (Verlag)
978-3-031-01309-6 (ISBN)
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.
Prof. Sandro Wimberger , Department of Mathematical, Physical and Computer Sciences of Parma University, Italy.
Introduction.- Dynamical systems.- Nonlinear Hamiltonian systems.- Dissipative systems.- Aspects of quantum chaos.- Index.
"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)
| Erscheinungsdatum | 04.01.2024 |
|---|---|
| Reihe/Serie | Graduate Texts in Physics |
| Zusatzinfo | XVI, 259 p. 119 illus., 58 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 478 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Naturwissenschaften ► Physik / Astronomie ► Optik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Classical dissipative systems • 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 • Weyl Transform • WKBJ Approximation |
| ISBN-10 | 3-031-01309-3 / 3031013093 |
| ISBN-13 | 978-3-031-01309-6 / 9783031013096 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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