Hamiltonian Systems: Chaos and Quantization (Cambridge Monographs on Mathematical Physics) - Hardcover

Ozorio De Almeida, Alfredo M.

Hardcover

ISBN 10: 0521345316 ISBN 13: 9780521345316

Publisher: Cambridge University Press, 1989

Synopsis

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.

About this title

Review

' ... it successfully gives a concise treatment of well-chosen key elements of the field that are suitable for an upper-level graduate physics course.' Science

Book Description

Hamiltonian Systems outlines the main results in the field, and goes on to consider the implications for quantum mechanics. The study of nonlinear dynamics, and in particular chaotic systems, is one of the fastest growing areas in physics and applied mathematics. The author introduces the theory of classical Hamiltonian systems and goes on to discuss the implications of the theory of chaos in quantum mechanics.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1989
• ISBN 10: 0521345316
• ISBN 13: 9780521345316
• Binding: Hardcover
• Language: English
• Number of pages: 256