Conservative Systems and Quantum Chaos

Conservative Systems and Quantum Chaos

by Larry M. Bates
     
 

ISBN-10: 0821802542

ISBN-13: 9780821802540

Pub. Date: 04/09/1996

Publisher: American Mathematical Society

This volume presents new research in classical Hamiltonian and quantum systems from the Workshop on Conservative Systems and Quantum Chaos held during The Fields Institute Program Year on Dynamical Systems and Bifurcation Theory in October 1992 (Waterloo, Canada). The workshop was organized so that there were presentations that formed a bridge between classical and

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Overview

This volume presents new research in classical Hamiltonian and quantum systems from the Workshop on Conservative Systems and Quantum Chaos held during The Fields Institute Program Year on Dynamical Systems and Bifurcation Theory in October 1992 (Waterloo, Canada). The workshop was organized so that there were presentations that formed a bridge between classical and quantum mechanical systems. Four of these papers appear in this collection, with the remaining six papers concentrating on classical Hamiltonian dynamics. Feature: Includes applications ranging from numerical exploration of a coupled mechanical system to a Hamiltonian approach to the problem of spatio-temporal chaos in biological models from population genetics and ecology.

Product Details

ISBN-13:
9780821802540
Publisher:
American Mathematical Society
Publication date:
04/09/1996
Series:
Fields Institute Communications Series, #8
Pages:
176

Related Subjects

Table of Contents

Preface
Semiclassical Monodromy and the Spherical Pendulum as a Complex Hamiltonian System1
Hamiltonian Structure of Plane-wave Instabilities19
Anharmonic Oscillators in Classical and Quantum Mechanics with Applications to the Perturbed Kepler Problem35
On the Global Flow in the Coulombian Restricted Isosceles 3-body Problem65
Reductive Group Actions on Kahler Manifolds85
Atomic Spectroscopy, Periodic Orbits and Generic Two-Parameter Bifurcations93
Homoclinic Orbits in the Forced Pendulum System113
Dynamics Near Stable Relative Equilibria at Non-Generic Momenta: A Numerical Investigation127
The Dynamics of Reversible Systems and Spatio-temporal Complexity in Biology143
Degenerate Hamiltonian Hopf Bifurcations159

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