Hamiltonian Systems: Chaos and Quantization

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Alfredo M. Ozorio de Almeida (Universidade Estadual de Campinas, Brazil) P. V. Landshoff

Hamiltonian Systems

Chaos and Quantization

Alfredo M. Ozorio de Almeida (Universidade Estadual de Campinas, Brazil), P. V. Landshoff, David R. Nelson , S. Weinberg

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English

Cambridge University Pres
26 November 1990

Mathematics & Sciences; Analytic topology; Physics

Series: Cambridge Monographs on Mathematical Physics

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.

By: Alfredo M. Ozorio de Almeida (Universidade Estadual de Campinas Brazil)
Series edited by: P. V. Landshoff, David R. Nelson, S. Weinberg
Imprint: Cambridge University Pres
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 153mm, Spine: 17mm
Weight: 410g
ISBN: 9780521386708
ISBN 10: 0521386705
Series: Cambridge Monographs on Mathematical Physics
Pages: 252
Publication Date: 26 November 1990
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Preface; 1. Linear dynamical systems; 2. Nonlinear systems; 3. Chaotic systems; 4. Normal forms; 5. Maps of the circle; 6. Integrable and quasi-integrable systems; 7. Torus quantization; 8. Quantization of ergodic systems; 9. Periodic orbits in quantum field theory; References; Index.

Reviews for Hamiltonian Systems: Chaos and Quantization

' ... 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 ...successfully gives a concise treatment of well-chosen key elements of the field that are suitable for an upper-level graduate physics course. Science ...a well-written introduction to classical and quantum Hamiltonian dynamics... Mathematical Reviews ...a fine introduction to its subject matter, for both graduate students and researchers young or old. SIAM Review