Nonlinear Dynamics and Quantum Chaos: An Introduction - Couverture souple

Wimberger, Sandro

Couverture souple

ISBN 10 : 303101250X ISBN 13 : 9783031012501

Editeur : Springer, 2023

Synopsis

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.- 

Dissipative systems - Introduction - Fixed points - Fixed point scenarios in two dimensional systems - Damped Oscillators - Harmonic oscillator - Nonlinear oscillators - Nonlinear damping - Poincaré-Bendixson Theorem - Damped forced oscillators - Driven one-Dimensional harmonic oscillator - Duffing oscillator - Lorenz model for turbulence - Fractals - Simple examples - Box-counting dimension - Examples from nature - Bifurcation scenarios - Examples of pitchfork bifurcations - Tangent bifurcations - Transcritical bifurcations - Higher-order bifurcations - Hopft bifurcations - Intermittency - Coupled Oscillators - Synchronisation - Kuramoto model - Increasing complexity - 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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2023
• ISBN 10: 303101250X
• ISBN 13: 9783031012501
• Reliure: Broché
• Langue: anglais
• Numéro d'édition: 2
• Coordonnées du fabricant: non disponible