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Ensembles on Configuration Space - Classical, Quantum, and Beyond (Hardcover, 1st ed. 2016)
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Ensembles on Configuration Space - Classical, Quantum, and Beyond (Hardcover, 1st ed. 2016)
Series: Fundamental Theories of Physics, 184
Expected to ship within 10 - 15 working days
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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.
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