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Conservative Systems and Quantum Chaos

Edited by: Larry M. Bates University of Calgary, Calgary, AB, Canada
David L. Rod University of Calgary, Calgary, AB, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN: 978-0-8218-0254-0
Product Code: FIC/8
List Price: $102.00 MAA Member Price:$91.80
AMS Member Price: $81.60 Electronic ISBN: 978-1-4704-2976-8 Product Code: FIC/8.E List Price:$96.00
MAA Member Price: $86.40 AMS Member Price:$76.80
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $153.00 MAA Member Price:$137.70
AMS Member Price: $122.40 Click above image for expanded view Conservative Systems and Quantum Chaos Edited by: Larry M. Bates University of Calgary, Calgary, AB, Canada David L. Rod University of Calgary, Calgary, AB, Canada A co-publication of the AMS and Fields Institute Available Formats:  Hardcover ISBN: 978-0-8218-0254-0 Product Code: FIC/8  List Price:$102.00 MAA Member Price: $91.80 AMS Member Price:$81.60
 Electronic ISBN: 978-1-4704-2976-8 Product Code: FIC/8.E
 List Price: $96.00 MAA Member Price:$86.40 AMS Member Price: $76.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$153.00 MAA Member Price: $137.70 AMS Member Price:$122.40
• Book Details

Fields Institute Communications
Volume: 81996; 176 pp
MSC: 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.

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
• Request Review Copy
Volume: 81996; 176 pp
MSC: 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.

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
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