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Hamiltonian Systems : Chaos and Quantization - Alfredo M. Ozorio de Almeida

Hamiltonian Systems

Chaos and Quantization

Paperback Published: 26th November 1990
ISBN: 9780521386708
Number Of Pages: 252

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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.

' ... 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

Prefacep. vii
Classical dynamics
Linear dynamical systemsp. 3
Nonlinear systemsp. 24
Chaotic motionp. 48
Normal formsp. 74
Maps on the circlep. 100
Integrable and quasi-integrable systemsp. 115
Quantum dynamics
Torus quantizationp. 155
Quantization of ergodic systemsp. 181
Periodic orbits in quantum mechanicsp. 208
Referencesp. 232
Indexp. 235
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521386708
ISBN-10: 0521386705
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 252
Published: 26th November 1990
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.68 x 15.22  x 1.27
Weight (kg): 0.35