Ensembles On Configuration Space: Classical, Quantum, And Beyond

May 31, 2018|
Ensembles On Configuration Space: Classical, Quantum, And Beyond by Michael J. W. Hall
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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.

Michael Hallworks 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 Reginattois a phys...
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Title:Ensembles On Configuration Space: Classical, Quantum, And Beyond
Format:Paperback
Product dimensions:280 pages, 9.25 X 6.1 X 0 in
Shipping dimensions:280 pages, 9.25 X 6.1 X 0 in
Published:May 31, 2018
Publisher:Springer Nature
Language:English
Appropriate for ages:All ages
ISBN - 13:9783319816920

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