TY - BOOK AU - Ozorio de Almeida,Alfredo M. TI - Hamiltonian systems: chaos and quantization T2 - Cambridge monographs on mathematical physics SN - 9780511564161 (ebook) AV - QC174.85.H35 O96 1988 U1 - 530.1/3 19 PY - 1988/// CY - Cambridge PB - Cambridge University Press KW - Hamiltonian systems KW - Chaotic behavior in systems KW - Quantum theory N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - 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 UR - https://doi.org/10.1017/CBO9780511564161 ER -