Nonlinear Dynamics and Quantum Chaos An Introduction /

• Κύριος συγγραφέας: Wimberger, Sandro (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Graduate Texts in Physics,
• Θέματα: Physics.; Dynamics.; Ergodic theory.; Mechanics.; Statistical physics.; Nonlinear Dynamics.; Dynamical Systems and Ergodic Theory.; Mathematical Methods in Physics.

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, ph...

Πίνακας περιεχομένων:

• Introduction
• Fundamental terminology
• Complexity
•  Classical versus quantum dynamics.- Problems
•  References
• Dynamical systems
• Evolution law
• One-dimensional maps
• Problems
• References
• Nonlinear Hamiltonian systems
• Integrable examples
• Hamiltonian formalism
• Important techniques in the Hamiltonian formalism
• Integrable systems
• Non-integrable systems
• Perturbation of low-dimensional systems
• Canonical perturbation theory
• Transition to chaos in Hamiltonian systems
• Criteria for local and global chaos
• Appendix
• Problems
• References
• Aspects of quantum chaos
• Introductory remarks on quantum mechanics
• Semiclassical quantization of integrable systems
• Semiclassical description of non-integrable systems
• Wave functions in phase space
• Anderson and dynamical localization
• Universal level statistics
• Concluding remarks
• Appendix
• Problems
• References
• Index.