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

Ozorio De Almeida, Alfredo M.

Softcover

ISBN 10: 0521386705 ISBN 13: 9780521386708

Publisher: Cambridge University Press, 1990

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

From the Back Cover

This text introduces 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 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 starting point for further investigation. The main focus is on periodic orbits and their neighborhood, since this approach is an especially suitable introduction to the implications of the theory of chaos in quantum mechanics discussed in the last three chapters.

The book will be valuable to all researchers and graduate students in physics or applied mathematics interested in Hamiltonian chaos and its implications for quantum theory.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1990
• Language: English
• ISBN 10: 0521386705
• ISBN 13: 9780521386708
• Binding: Paperback
• Number of pages: 252