Free Delivery Over $100
|
|
|||
|
||||
OverviewThis 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. Full Product DetailsAuthor: Alfredo M. Ozorio de Almeida (Universidade Estadual de Campinas, Brazil)Publisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) ISBN: 9780511564161ISBN 10: 0511564163 Publication Date: 05 July 2011 Audience: Professional and scholarly , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsPreface; 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' ... 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 ' ... 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
