Hamiltonian Systems: Chaos and Quantization Contributor(s): Ozorio de Almeida, Alfredo M. (Author) |
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ISBN: 0511564163 ISBN-13: 9780511564161 Publisher: Cambridge University Press OUR PRICE: $156.75 Product Type: Open Ebook - Other Formats Published: July 2011 |
Additional Information |
BISAC Categories: - Science | Chaotic Behavior In Systems - Science | Physics - Quantum Theory - Science | Physics - Mathematical & Computational |
Dewey: 530.13 |
Series: Cambridge Monographs on Mathematical Physics |
Descriptions, Reviews, Etc. |
Publisher 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. |