Nonlinear dynamics and quantum chaos : an introduction / Sandro Wimberger.

Springer eBooks

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.

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