Nonlinear Dynamics and Quantum Chaos: an introduction

✍ Scribed by Wimberger, Sandro

Publisher: Springer
Year: 2014
Tongue: English
Leaves: 215
Series: Graduate Texts in Physics
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

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.

✦ Subjects

Nichtlineare Dynamik;Quantenchaos

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