Ensembles on Configuration Space


Ensembles on Configuration Space: Classical, Quantum, and Beyond
Springer | Quantum Physics | July 5 2016 | ISBN-10: 3319341642 | 280 pages | pdf | 3.29 mb

Authors: Javed, Adeel
Authors: Hall, Michael J. W., Reginatto, Marcel
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

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 descrion 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 descrions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime.

Number of Illustrations and Tables
3 b/w illustrations
Quantum Physics
Mathematical Physics
Statistical Physics, Dynamical Systems and Complexity

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