Ensembles on Configuration Space Classical, Quantum, and Beyond /

• Main Authors: Hall, Michael J. W. (Author), Reginatto, Marcel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Fundamental Theories of Physics, 184
• Subjects: Physics.; Mathematical physics.; Quantum physics.; Statistical physics.; Dynamical systems.; Quantum Physics.; Mathematical Physics.; Statistical Physics, Dynamical Systems and Complexity.

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 exten...

Table of Contents:

• Part I General Properties of Ensembles on Configuration Space: Introduction
• Observables, Symmetries and Constraints
• Interaction, Locality and Measurement
• Thermodynamics and Mixtures on Configuration Space
• Part II Axiomatic Approaches to Quantum Mechanics: Quantization of Classical Ensembles via an Exact Uncertainty Principle
• The Geometry of Ensembles on Configuration Space
• Local Representations of Rotations on Discrete Configuration Spaces
• Part III: Hybrid Classical-Quantum Systems
• Hybrid Quantum-Classical Ensembles
• Consistency of Hybrid Quantum-Classical Ensembles
• Part IV: Classical Gravitational Fields and Their Interaction with Quantum Fields
• Ensembles of Classical Gravitational Fields
• Coupling of Quantum Fields to Classical Gravity
• Variational Derivatives and Integrals.