Nonlinear Dynamics and Quantum Chaos An Introduction /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wimberger, Sandro (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Graduate Texts in Physics,
Temas:
Nonlinear Optics.
Dynamical systems.
Mathematical physics.
Mechanics.
Dynamical Systems.
Mathematical Methods in Physics.
Classical Mechanics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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