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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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Book 2016hybrid 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..
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Introductionertain requirements which we discuss in detail. We provide examples of classical and quantum systems and show that the primary difference between quantum and classical evolution lies in the choice of the ensemble Hamiltonian.
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Interaction, Locality and Measurementr .) must be extended to the joint ensemble, but this can not be done in an arbitrary way. These concepts play an important role in the description of composite systems, and we address them in the first sections of this chapter. The remaining sections are devoted to a description of interactions bet
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Quantization of Classical Ensembles via an Exact Uncertainty Principlericted to particles but can also be used to derive bosonic field equations. It is remarkable that the basic underlying concept, the addition of nonclassical momentum fluctuations to a classical ensemble, carries through from quantum particles to quantum fields, without creating conceptual difficulti
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