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Titlebook: Ensembles on Configuration Space; Classical, Quantum, Michael J. W. Hall,Marcel Reginatto Book 2016 Springer International Publishing Swit

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发表于 2025-3-21 18:13:26 | 显示全部楼层 |阅读模式
书目名称Ensembles on Configuration Space
副标题Classical, Quantum,
编辑Michael J. W. Hall,Marcel Reginatto
视频video
概述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 ye
丛书名称Fundamental Theories of Physics
图书封面Titlebook: Ensembles on Configuration Space; Classical, Quantum,  Michael J. W. Hall,Marcel Reginatto Book 2016 Springer International Publishing Swit
描述.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..
出版日期Book 2016
关键词Axiomatic Quantum Mechanics; Dynamics on Configuration Space; Fisher Information Metric; Quantum Measur
版次1
doihttps://doi.org/10.1007/978-3-319-34166-8
isbn_softcover978-3-319-81692-0
isbn_ebook978-3-319-34166-8Series ISSN 0168-1222 Series E-ISSN 2365-6425
issn_series 0168-1222
copyrightSpringer International Publishing Switzerland 2016
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Interaction, Locality and Measurement formalism of ensembles on configuration space, this description requires a probability distribution .(., .) defined over the joint configuration space, the corresponding conjugate quantity .(., .), and an ensemble Hamiltonian .. Once a composite system is defined, it becomes necessary to introduce
发表于 2025-3-22 05:15:30 | 显示全部楼层
Thermodynamics and Mixtures on Configuration Spacespace ensemble . with probability ., then it may be said to correspond to the mixture .. Mixtures for classical and quantum systems are shown to be equivalent to phase space densities and density operators, respectively, and obey corresponding classical and quantum Liouville equations. We also gener
发表于 2025-3-22 09:41:59 | 显示全部楼层
Quantization of Classical Ensembles via an Exact Uncertainty Principlen of the momentum of a quantum state into classical and nonclassical components and choosing suitable measures of position and momentum uncertainty. The exact uncertainty relation obtained in this way is sufficiently strong to provide the basis for moving from classical mechanics to quantum mechanic
发表于 2025-3-22 13:24:35 | 显示全部楼层
The Geometry of Ensembles on Configuration Spacehich derives from the natural geometry associated with a space of probabilities, and a symplectic structure, which derives from the symplectic geometry associated with a Hamiltonian description of motion. We show that these two geometrical structures give rise to a Kähler geometry. We first consider
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Consistency of Hybrid Quantum-Classical Ensemblesapter, we consider such hybrid ensembles and focus on consistency requirements for models of quantum-classical interactions. We show how the configuration ensemble approach is able to satisfy desirable properties such as a Lie algebra of observables and Ehrenfest relations, while evading no-go theor
发表于 2025-3-23 06:31:51 | 显示全部楼层
Ensembles of Classical Gravitational Fieldsobi formulation of general relativity. After a brief review of the Einstein–Hamilton–Jacobi equation in the metric representation, we introduce the additional mathematical structure that is needed to formulate the theory of configuration space ensembles; i.e., a measure over the space of metrics and
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