Hamiltonian systems : chaos and quantization

Author(s)

Bibliographic Information

Hamiltonian systems : chaos and quantization

Alfredo M. Ozorio de Almeida

（Cambridge monographs on mathematical physics）

Cambridge University Press, 1988

  • : hbk

Available at  / 85 libraries

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Note

Translated from Portuguese

Bibliography: p. [232]-234

Includes index

Description and Table of Contents

Description

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.

Table of Contents

  • 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.

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