Authors:
- Presents a unified approach to quantum and classical mechanics
- Contributes to a better understanding of decoherence and the quantum measurement problem
- Style is lucid and the authors draw upon many years of experience in the field
- Includes supplementary material: sn.pub/extras
Part of the book series: Fundamental Theories of Physics (FTPH, volume 184)
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Table of contents (11 chapters)
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Front Matter
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General Properties of Ensembles on Configuration Space
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Front Matter
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Axiomatic Approaches to Quantum Mechanics
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Front Matter
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Hybrid Classical-Quantum Systems
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Front Matter
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Classical Gravitational Fields and Their Interaction with Quantum Fields
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Front Matter
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Back Matter
About this book
This book describes a promising approach to problems in the foundations of quantum mechanics, including the measurement problem. The dynamics of ensembles on configuration space is shown here to be a valuable tool for unifying the formalisms of classical and quantum mechanics, for deriving and extending the latter in various ways, and for addressing the quantum measurement problem. A description of physical systems by means of ensembles on configuration space can be introduced at a very fundamental level: the basic building blocks are a configuration space, probabilities, and Hamiltonian equations of motion for the probabilities. The formalism can describe both classical and quantum systems, and their thermodynamics, with the main difference being the choice of ensemble Hamiltonian. Furthermore, there is a natural way of introducing ensemble Hamiltonians that describe the evolution of hybrid systems; i.e., interacting systems that have distinct classical and quantum sectors, allowing for consistent descriptions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime.
Reviews
“This is an indepth discussion of multidimensional physics in the classic and quantum interpretations of the energy principles. It is a very advanced text for serious physicists and engineers.” (Joseph J. Grenier, Amazon.com, July, 2016)
Authors and Affiliations
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Centre for Quantum Dynamics, Griffith University Centre for Quantum Dynamics, Brisbane, Australia
Michael J. W. Hall
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Physikalisch-Technische Bundesanstalt, Braunschweig, Germany
Marcel Reginatto
About the authors
Michael Hall works at the Centre for Quantum Dynamics at Griffith University in Brisbane, Australia. His research covers many areas of the foundations of quantum mechanics, including quantum information theory, quantum metrology, uncertainty relations, quantum time observables and interpretational aspects.
Marcel Reginatto is a physicist at the Physikalisch-Technische Bundesanstalt (PTB) in Braunschweig, Germany. His research in theoretical physics focuses on foundations of physics, with emphasis on quantum theory and general relativity. His work in applied physics concerns analysis of data and mathematical models of experiments.
Bibliographic Information
Book Title: Ensembles on Configuration Space
Book Subtitle: Classical, Quantum, and Beyond
Authors: Michael J. W. Hall, Marcel Reginatto
Series Title: Fundamental Theories of Physics
DOI: https://doi.org/10.1007/978-3-319-34166-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-34164-4Published: 22 June 2016
Softcover ISBN: 978-3-319-81692-0Published: 31 May 2018
eBook ISBN: 978-3-319-34166-8Published: 11 June 2016
Series ISSN: 0168-1222
Series E-ISSN: 2365-6425
Edition Number: 1
Number of Pages: XIV, 280
Number of Illustrations: 3 b/w illustrations
Topics: Quantum Physics, Mathematical Physics, Complex Systems, Statistical Physics and Dynamical Systems