Hamiltonian Systems

Chaos and Quantization
Erscheinungsjahr 1990
ISBN: 978-0-521-38670-8
Verlag: Cambridge University Press

Buch, Englisch, 247 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 415 g

Reihe: Cambridge Monographs on Mathematical Physics

This introduction to the theory of Hamiltonian chaos outlines the main results in the field, and goes on to consider implications for quantum mechanics. The study of nonlinear dynamics, and in particular of chaotic systems, is one of the fastest growing and most productive areas in physics and applied mathematics. In its first six chapters, this timely book introduces the theory of classical Hamiltonian systems. The aim is not to be comprehensive but, rather, to provide a mathematical trunk from which the reader will be able to branch out. The main focus is on periodic orbits and their neighbourhood, as this approach is especially suitable as an introduction to the implications of the theory of chaos in quantum mechanics, which are discussed in the last three chapters.

Autoren/Hrsg.

Ozorio de Almeida, Alfredo M.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Mechanik
• Naturwissenschaften Physik Quantenphysik

Inhaltsverzeichnis

Preface
1. Linear dynamical systems
2. Nonlinear systems
3. Chaotic systems
4. Normal forms
5. Maps of the circle
6. Integrable and quasi-integrable systems
7. Torus quantization
8. Quantization of ergodic systems
9. Periodic orbits in quantum field theory
References
Index.