國立虎尾科技大學 |

Ensembles on Configuration Space = Classical, Quantum, and Beyond /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Ensembles on Configuration Space/ by Michael J. W. Hall, Marcel Reginatto.
其他題名:	Classical, Quantum, and Beyond /
作者:	Hall, Michael J. W.
其他作者:	Reginatto, Marcel.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xiv, 280 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Configuration space. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-34166-8
ISBN:	9783319341668

Ensembles on Configuration Space = Classical, Quantum, and Beyond /
Hall, Michael J. W.

Ensembles on Configuration SpaceClassical, Quantum, and Beyond /[electronic resource] :by Michael J. W. Hall, Marcel Reginatto. - Cham :Springer International Publishing :2016. - xiv, 280 p. :ill., digital ;24 cm. - Fundamental theories of physics,v.1840168-1222 ;. - Fundamental theories of physics ;v.172..

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.

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.

ISBN: 9783319341668

Standard No.: 10.1007/978-3-319-34166-8doiSubjects--Topical Terms:

639890
Configuration space.

LC Class. No.: QA607

Dewey Class. No.: 516.35

Ensembles on Configuration Space = Classical, Quantum, and Beyond /
LDR:03026nam a2200325 a 4500 001 865332
003 DE-He213
005 20161130164151.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319341668 $q (electronic bk.)
020 $a 9783319341644 $q (paper)
024 7 $a 10.1007/978-3-319-34166-8 $2 doi
035 $a 978-3-319-34166-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA607
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
082 0 4 $a 516.35 $2 23
090 $a QA607 $b .H178 2016
100 1 $a Hall, Michael J. W. $3 1110792
245 1 0 $a Ensembles on Configuration Space $h [electronic resource] : $b Classical, Quantum, and Beyond / $c by Michael J. W. Hall, Marcel Reginatto.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a xiv, 280 p. : $b ill., digital ; $c 24 cm.
490 1 $a Fundamental theories of physics, $x 0168-1222 ; $v v.184
505 0 $a 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.
520 $a 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.
650 0 $a Configuration space. $3 639890
650 1 4 $a Physics. $3 564049
650 2 4 $a Quantum Physics. $3 671960
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Statistical Physics, Dynamical Systems and Complexity. $3 769149
700 1 $a Reginatto, Marcel. $3 1110793
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Fundamental theories of physics ; $v v.172. $3 885722
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-34166-8
950 $a Physics and Astronomy (Springer-11651)