The Resource Noncommutative dynamics and E-semigroups, William Arveson, (electronic resource)

Noncommutative dynamics and E-semigroups, William Arveson, (electronic resource)

Label
Noncommutative dynamics and E-semigroups
Title
Noncommutative dynamics and E-semigroups
Statement of responsibility
William Arveson
Creator
Subject
Genre
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 one-parameter 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 E-semigroups 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 Springer-Verlag, An Invitation to C*-algebras (1976) and A Short Course on Spectral Theory (2001)
Member of
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)
  • Semi-groupes
  • Endomorphisms (Group theory)
  • Noncommutative algebras
  • Semigroups
  • Halbgruppe
  • Nichtkommutative Algebra
  • Endomorphismus
Label
Noncommutative dynamics and E-semigroups, William Arveson, (electronic resource)
Link
http://dx.doi.org/10.1007/978-0-387-21524-2
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 427-430) 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. E-Semigroups -- 3. Continuous Tensor Products -- 4. Spectral C*-Algebras -- 2. Classification: Type I Cases -- 5. Path Spaces -- 6. Decomposable Product Systems -- 3. Noncommutative Laplacians -- 7. CP-Semigroups -- 8. C*-Generators and Dilation Theory -- 9. Index Theory for CP-Semigroups -- 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. Tsirelson-Vershik 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
10.1007/978-0-387-21524-2
Other physical details
illustrations.
Specific material designation
remote
System control number
  • (OCoLC)666928892
  • (OCoLC)ocn666928892
Label
Noncommutative dynamics and E-semigroups, William Arveson, (electronic resource)
Link
http://dx.doi.org/10.1007/978-0-387-21524-2
Publication
Bibliography note
Includes bibliographical references (p. 427-430) 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. E-Semigroups -- 3. Continuous Tensor Products -- 4. Spectral C*-Algebras -- 2. Classification: Type I Cases -- 5. Path Spaces -- 6. Decomposable Product Systems -- 3. Noncommutative Laplacians -- 7. CP-Semigroups -- 8. C*-Generators and Dilation Theory -- 9. Index Theory for CP-Semigroups -- 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. Tsirelson-Vershik 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
10.1007/978-0-387-21524-2
Other physical details
illustrations.
Specific material designation
remote
System control number
  • (OCoLC)666928892
  • (OCoLC)ocn666928892

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...