7 edition of **The transition to chaos in conservative classical systems** found in the catalog.

- 153 Want to read
- 20 Currently reading

Published
**1992**
by Springer-Verlag in New York
.

Written in English

- Chaotic behavior in systems.

**Edition Notes**

Statement | L.E. Reichl. |

Contributions | Institute for Nonlinear Science. |

Classifications | |
---|---|

LC Classifications | Q172.5.C45 R45 1992 |

The Physical Object | |

Pagination | xvi, 551 p. : |

Number of Pages | 551 |

ID Numbers | |

Open Library | OL1559721M |

ISBN 10 | 0387977538 |

LC Control Number | 91040783 |

Topics covered includes: History of classical mechanics, Newtonian mechanics, Linear oscillators, Nonlinear systems and chaos, Calculus of variations, Lagrangian dynamics, Symmetries, Invariance and the Hamiltonian, Hamiltonian mechanics, Rigid-body rotation, Relativistic mechanics, The transition to quantum physics. Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are 5/5(1).

The book shows in many examples the relations between quantum and classical mechanics and uses classical methods to derive most of the observational tests of general : Diogenes Campos. The transition to classical chaos in a coupled quantum system through continuous pared to ¯h) to behave classically, for systems with Hamil-tonian chaos, Berry and Balazs have argued that the semiclassical approximation may break down in an ex-ceedingly short time, logarithmic in I/¯h [1].

This volume, the first of a two-volume book, consists of a collection of comprehensive reviews and lectures written by active researchers on topics in chaotic phenomena. Contents: Directions in Classical Chaos (J Ford) Nonlinear Resonance and . Chaos in Classical and Quantum Mechanics, M. C. Gutzwiller, Springer-Verlag, New York (). Focuses on the relation between quantum eigenvalues and classical periodic orbits, work done mostly by Gutzwiller himself. The Transition to Chaos in Conservative Classical Systems: Quantum Manifestations, L. E. Reichl, Springer-Verlag, New York ().

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Chapters 2 through 4 deal with the dynamics of nonlinear conservative classical systems. Chapter 5 and several appendices give a thorough grounding in random matrix theory and supersymmetry techniques.

Chapters 6 and 7 discuss the manifestations of chaos in bounded quantum systems and open quantum systems by: Chapters 2 through 4 deal with the dynamics of nonlinear conservative classical systems.

Chapter 5 and several appendices give a thorough grounding in random matrix theory and supersymmetry techniques. Chapters 6 and 7 discuss the manifestations of chaos in bounded quantum systems and open quantum systems : Springer-Verlag New York. : The Transition to Chaos: Conservative Classical Systems and Quantum Manifestations (Institute for Nonlinear Science) () by Reichl, Linda and a great selection of similar New, Used and Collectible Books available now at great Range: $ - $ "This book is an expanded and updated version from a previous edition and reviews results on the manifestation of chaos in classical and quantum mechanics.

A very wide range of topics is covered in the book, which thus can be used as preliminary reading for research areas .Brand: Springer-Verlag New York.

Transition to chaos in conservative classical systems. New York: Springer-Verlag, © (OCoLC) Document Type: Book: All Authors / Contributors: L E Reichl; Institute for. Book review: The transition to chaos in conservative classical systems: Quantum manifestations Moshe Gitterman 1 Journal of Statistical Physics vol Author: Moshe Gitterman.

The transition to chaos in conservative classical systems: quantum manifestations. [L E Reichl] Home. WorldCat Home About WorldCat Help.

Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Book\/a>, schema:CreativeWork\/a>. The Transition to Chaos In Conservative Classical Systems: Quantum Manifestations by L.E. Reichl. Springer-Verlag, New York, Hardcover pp.

ISBN: Order this book online from The book on chaos that is becoming a modern classic. The Transition to Chaos Conservative Classical Systems and Quantum Manifestations.

Authors (view affiliations) The book is divided into several parts. Chapters 2 through 4 deal with the dynamics of nonlinear conservative classical systems.

Chapter 5 and several appendices give a thorough grounding in random matrix theory and supersymmetry. The Transition to Chaos: Conservative Classical Systems and Quantum Manifestations (Institute for Nonlinear Science) by Linda Reichl PDF, ePub eBook D0wnl0ad Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry.

The Transition to Chaos In Conservative Classical Systems: Quantum Manifestations by Linda Reichl (Springer-Verlag, ): This book (written by my dissertation advisor) is a comprehensive reference work on chaos in conservative systems and its manifestations in quantum mechanics.

Chapter 3 has some excellent material on area-preserving maps. “The Transition to Chaos in Conservative Systems: Quantum Manifestations” (Springer-Verlag, Berlin, ) “Statistical Physics and Chaos in Fusion Plasmas” with W.

Horton (J. Wiley and Sons, New York, ) “Long Time Prediction in Conservative Classical Systems” with W. Horton and V. Szebehely (Wiley-Interscience, New York, ). The Transition to Chaos Conservative Classical Systems and Quantum Manifestations Second Edition With Illustrations Dedication v Acknowledgements vii 1 Overview 1 Introduction.

1 Historical Overview 2 Plan of the Book 8 References 12 2 Fundamental Concepts 13 Introduction 13 Conventional Perturbation Theory Chaos theory is a branch of mathematics focusing on the study of chaos—states of dynamical systems whose apparently-random states of disorder and irregularities are often governed by deterministic laws that are highly sensitive to initial conditions.

Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of chaotic complex systems, there are underlying. It covers the transitions from classical to quantum physics in about well crafted pages.

From Newton in the seventeen century to Heisenberg in the nineteen twenties, the author, emeritus physics professor at the University of Pittsburgh, explains the physics of this transition in terms understandable to the layperson but correct to those /5(3). classical, turbulent, stochastic and quantum chaotic systems on level of a 2nd year graduate statistical mechanics or quantum ﬁeld theory course.

Approach it the way that suits you best. All this book says is that time evolution adds up probability densities of initial states. Whenever a problem is. Variational Principles In Classical Mechanics. The goal of this book is to introduce the reader to the intellectual beauty, and philosophical implications, of the fact that nature obeys variational principles that underlie the Lagrangian and Hamiltonian analytical formulations of classical mechanics.

CONTENTS iii Stability of Poincar´e map cycles. 89 There goes the neighborhood. 90 r´esum´e 90 commentary 91 exercises 91 references Systems subject to initial boundary conditions; The hierarchy of the related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries; Non-conservative systems.

Variable-mass systems. The General Theory of Relativity. The first edition of this book can be downloaded at the publisher Edition: Second Edition. In this Communication we describe how the transition from regularity to classical chaos in molecular Hamiltonian systems shows up at the quantum level in the structure of Cited by: 9.

Classical mechanics in the past twenty years has undergone a rebirth. New ideas and techniques have been developed to understand mechanisms by which systems can undergo a transition from quasiintegral to chaotic behavior when parameters of the systems are varied.Abstract Classical mechanics in the past twenty years has undergone a rebirth.

New ideas and techniques have been developed to understand mechanisms by which systems can undergo a transition from quasiintegral to chaotic behavior when parameters of the systems are varied.Quantum chaos is the study of the quantum dynamics of systems that are classically chaotic.

Contrary to the impression left by most textbooks, almost all conservative dynamical systems are at least partly chaotic in the range of their behavior.

This applies to molecules, nuclei, quantum dots, acoustical systems, and dozens of other systems. The field of quantum chaos is still young, growing Author: Eric J. Heller.