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Hamiltonian Systems

Chaos and Quantization

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Paperback | 26 November 1990

At a Glance

Paperback
252 Pages

Dimensions(cm)
22.86 x 15.24 x 1.45

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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.

Industry Reviews

' ... 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

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Chaos Theory Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Topology Analytic Topology

Preface	p. vii
Classical dynamics
Linear dynamical systems	p. 3
Nonlinear systems	p. 24
Chaotic motion	p. 48
Normal forms	p. 74
Maps on the circle	p. 100
Integrable and quasi-integrable systems	p. 115
Quantum dynamics
Torus quantization	p. 155
Quantization of ergodic systems	p. 181
Periodic orbits in quantum mechanics	p. 208
References	p. 232
Index	p. 235
Table of Contents provided by Syndetics. All Rights Reserved.

Hamiltonian Systems

Chaos and Quantization

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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