Borrow it
Coverart for item
The Resource Ensembles on configuration space : classical, quantum, and beyond, Michael J. W. Hall, Marcel Reginatto, (electronic book)

Ensembles on configuration space : classical, quantum, and beyond, Michael J. W. Hall, Marcel Reginatto, (electronic book)

Creator
Author
Contributor
Summary
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
Language
eng
Work
Publication
Extent
1 online resource (xiv, 280 pages)
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
Isbn
9783319341644
Instance
Label
Ensembles on configuration space : classical, quantum, and beyond
Title
Ensembles on configuration space
Title remainder
classical, quantum, and beyond
Statement of responsibility
Michael J. W. Hall, Marcel Reginatto
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Hall, Michael J. W
Dewey number
516.3/5
Illustrations
illustrations
Index
index present
LC call number
QA607
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Reginatto, Marcel
Series statement
Fundamental theories of physics,
Series volume
volume 184
http://library.link/vocab/subjectName
Configuration space
Label
Ensembles on configuration space : classical, quantum, and beyond, Michael J. W. Hall, Marcel Reginatto, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
SPR951678371
Dimensions
unknown
Extent
1 online resource (xiv, 280 pages)
File format
unknown
Form of item
online
Isbn
9783319341644
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-34166-8
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Label
Ensembles on configuration space : classical, quantum, and beyond, Michael J. W. Hall, Marcel Reginatto, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
SPR951678371
Dimensions
unknown
Extent
1 online resource (xiv, 280 pages)
File format
unknown
Form of item
online
Isbn
9783319341644
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-34166-8
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

Subject

Member of

Library Locations

Library Links

Structured data from the Bibframe namespace is licensed under the Creative Commons Attribution 4.0 International License by Sydney Jones Library, University of Liverpool. Additional terms may apply to data associated with third party namespaces.