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Book DetailsFields Institute CommunicationsVolume: 8; 1996; 176 ppMSC: Primary 58; Secondary 81
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.
Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
ReadershipAdvanced graduate students and mathematics professionals interested in Hamiltonian dynamics and quantum chaos.
-
Table of Contents
-
Chapters
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Mark Alber and Jerrold Marsden — Semiclassical monodromy and the spherical pendulum as a complex Hamiltonian system
-
Thomas Bridges — Hamiltonian structure of plane-wave instabilities
-
Martin Kummer — Anharmonic oscillators in classical and quantum mechanics with applications to the perturbed Kepler problem
-
Ernesto Lacomba and J Reyes — On the global flow in the Coulombian restricted isosceles $3$-body problem
-
Eugene Lerman and Reyer Sjamaar — Reductive group actions on Kahler manifolds
-
Kenneth Meyer, J Delos and Jian-min Mao — Atomic spectroscopy, periodic orbits and generic two-parameter bifurcations
-
Daniel Offin and Hongfan Yu — Homoclinic orbits in the forced pendulum system
-
George Patrick — Dynamics near stable relative equilibria at nongeneric momenta: A numerical investigation
-
Brian Sleeman — The dynamics of reversible systems and spatio-temporal complexity in biology
-
Jan-Cees Van Der Meer — Degenerate Hamiltonian Hopf bifurcations
-
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
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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.
Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Advanced graduate students and mathematics professionals interested in Hamiltonian dynamics and quantum chaos.
-
Chapters
-
Mark Alber and Jerrold Marsden — Semiclassical monodromy and the spherical pendulum as a complex Hamiltonian system
-
Thomas Bridges — Hamiltonian structure of plane-wave instabilities
-
Martin Kummer — Anharmonic oscillators in classical and quantum mechanics with applications to the perturbed Kepler problem
-
Ernesto Lacomba and J Reyes — On the global flow in the Coulombian restricted isosceles $3$-body problem
-
Eugene Lerman and Reyer Sjamaar — Reductive group actions on Kahler manifolds
-
Kenneth Meyer, J Delos and Jian-min Mao — Atomic spectroscopy, periodic orbits and generic two-parameter bifurcations
-
Daniel Offin and Hongfan Yu — Homoclinic orbits in the forced pendulum system
-
George Patrick — Dynamics near stable relative equilibria at nongeneric momenta: A numerical investigation
-
Brian Sleeman — The dynamics of reversible systems and spatio-temporal complexity in biology
-
Jan-Cees Van Der Meer — Degenerate Hamiltonian Hopf bifurcations
