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The Resource Noncommutative dynamics and Esemigroups, William Arveson, (electronic resource)
Noncommutative dynamics and Esemigroups, William Arveson, (electronic resource)
Resource Information
The item Noncommutative dynamics and Esemigroups, William Arveson, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Noncommutative dynamics and Esemigroups, William Arveson, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 The term Noncommutative Dynamics can be interpreted in several ways. It is used in this book to refer to a set of phenomena associated with the dynamics of quantum systems of the simplest kind that involve rigorous mathematical structures associated with infinitely many degrees of freedom. The dynamics of such a system is represented by a oneparameter group of automorphisms of a noncommutative algebra of observables, and the author focuses primarily on the most concrete case in which that algebra consists of all bounded operators on a Hilbert space. This subject overlaps with several mathematical areas of current interest, including quantum field theory, the dynamics of open quantum systems, noncommutative geometry, and both classical and noncommutative probability theory. This is the first book to give a systematic presentation of progress during the past fifteen years on the classification of Esemigroups up to cocycle conjugacy. There are many new results that cannot be found in the existing literature, as well as significant reformulations and simplifications of the theory as it exists today. William Arveson is Professor of Mathematics at the University of California, Berkeley. He has published two previous books with SpringerVerlag, An Invitation to C*algebras (1976) and A Short Course on Spectral Theory (2001)
 Language
 eng
 Extent
 1 online resource (x, 434 pages)
 Contents

 1. Dynamical Origins
 1.1. The Flow of Time in Quantum Theory
 1.2. Causality and Interactions
 1.3. Semigroups of Endomorphisms
 1.4. Existence of Dynamics
 1. Index and Perturbation Theory
 2. ESemigroups
 3. Continuous Tensor Products
 4. Spectral C*Algebras
 2. Classification: Type I Cases
 5. Path Spaces
 6. Decomposable Product Systems
 3. Noncommutative Laplacians
 7. CPSemigroups
 8. C*Generators and Dilation Theory
 9. Index Theory for CPSemigroups
 10. Bounded Generators
 4. Causality and Dynamics
 11. Pure Perturbations of CAR/CCR Flows
 12. Interaction Theory
 5. Type III Examples
 13. Powers' Examples
 14. TsirelsonVershik Product Systems
 Isbn
 9780387215242
 Label
 Noncommutative dynamics and Esemigroups
 Title
 Noncommutative dynamics and Esemigroups
 Statement of responsibility
 William Arveson
 Language
 eng
 Summary
 The term Noncommutative Dynamics can be interpreted in several ways. It is used in this book to refer to a set of phenomena associated with the dynamics of quantum systems of the simplest kind that involve rigorous mathematical structures associated with infinitely many degrees of freedom. The dynamics of such a system is represented by a oneparameter group of automorphisms of a noncommutative algebra of observables, and the author focuses primarily on the most concrete case in which that algebra consists of all bounded operators on a Hilbert space. This subject overlaps with several mathematical areas of current interest, including quantum field theory, the dynamics of open quantum systems, noncommutative geometry, and both classical and noncommutative probability theory. This is the first book to give a systematic presentation of progress during the past fifteen years on the classification of Esemigroups up to cocycle conjugacy. There are many new results that cannot be found in the existing literature, as well as significant reformulations and simplifications of the theory as it exists today. William Arveson is Professor of Mathematics at the University of California, Berkeley. He has published two previous books with SpringerVerlag, An Invitation to C*algebras (1976) and A Short Course on Spectral Theory (2001)
 Cataloging source
 IDEBK
 http://library.link/vocab/creatorName
 Arveson, William
 Dewey number
 512/.24
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA251.4
 LC item number
 .A78 2003
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Springer monographs in mathematics
 http://library.link/vocab/subjectName

 Noncommutative algebras
 Endomorphisms (Group theory)
 Semigroups
 Algèbres non commutatives
 Endomorphismes (Théorie des groupes)
 Semigroupes
 Endomorphisms (Group theory)
 Noncommutative algebras
 Semigroups
 Halbgruppe
 Nichtkommutative Algebra
 Endomorphismus
 Label
 Noncommutative dynamics and Esemigroups, William Arveson, (electronic resource)
 Bibliography note
 Includes bibliographical references (p. 427430) 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
 1. Dynamical Origins  1.1. The Flow of Time in Quantum Theory  1.2. Causality and Interactions  1.3. Semigroups of Endomorphisms  1.4. Existence of Dynamics  1. Index and Perturbation Theory  2. ESemigroups  3. Continuous Tensor Products  4. Spectral C*Algebras  2. Classification: Type I Cases  5. Path Spaces  6. Decomposable Product Systems  3. Noncommutative Laplacians  7. CPSemigroups  8. C*Generators and Dilation Theory  9. Index Theory for CPSemigroups  10. Bounded Generators  4. Causality and Dynamics  11. Pure Perturbations of CAR/CCR Flows  12. Interaction Theory  5. Type III Examples  13. Powers' Examples  14. TsirelsonVershik Product Systems
 Dimensions
 unknown
 Extent
 1 online resource (x, 434 pages)
 Form of item
 online
 Isbn
 9780387215242
 Isbn Type
 (electronic bk.)
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780387215242
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number

 (OCoLC)666928892
 (OCoLC)ocn666928892
 Label
 Noncommutative dynamics and Esemigroups, William Arveson, (electronic resource)
 Bibliography note
 Includes bibliographical references (p. 427430) 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
 1. Dynamical Origins  1.1. The Flow of Time in Quantum Theory  1.2. Causality and Interactions  1.3. Semigroups of Endomorphisms  1.4. Existence of Dynamics  1. Index and Perturbation Theory  2. ESemigroups  3. Continuous Tensor Products  4. Spectral C*Algebras  2. Classification: Type I Cases  5. Path Spaces  6. Decomposable Product Systems  3. Noncommutative Laplacians  7. CPSemigroups  8. C*Generators and Dilation Theory  9. Index Theory for CPSemigroups  10. Bounded Generators  4. Causality and Dynamics  11. Pure Perturbations of CAR/CCR Flows  12. Interaction Theory  5. Type III Examples  13. Powers' Examples  14. TsirelsonVershik Product Systems
 Dimensions
 unknown
 Extent
 1 online resource (x, 434 pages)
 Form of item
 online
 Isbn
 9780387215242
 Isbn Type
 (electronic bk.)
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780387215242
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number

 (OCoLC)666928892
 (OCoLC)ocn666928892
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