Noncommutative Dynamics and E-Semigroups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2003
|
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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) |
| Beschreibung: | 1 Online-Ressource (X, 434 p) |
| ISBN: | 9780387215242 9781441918031 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-0-387-21524-2 |
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Datensatz im Suchindex
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| isbn | 9780387215242 9781441918031 |
| issn | 1439-7382 |
| language | English |
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| spelling | Arveson, William Verfasser aut Noncommutative Dynamics and E-Semigroups by William Arveson New York, NY Springer New York 2003 1 Online-Ressource (X, 434 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 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) Mathematics Operator theory Operator Theory Mathematik Nichtkommutative Algebra (DE-588)4304013-5 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Endomorphismus (DE-588)4280121-7 gnd rswk-swf Operatorhalbgruppe (DE-588)4172620-0 gnd rswk-swf Nichtkommutative Algebra (DE-588)4304013-5 s Endomorphismus (DE-588)4280121-7 s Operatorhalbgruppe (DE-588)4172620-0 s Operatortheorie (DE-588)4075665-8 s 1\p DE-604 https://doi.org/10.1007/978-0-387-21524-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Arveson, William Noncommutative Dynamics and E-Semigroups Mathematics Operator theory Operator Theory Mathematik Nichtkommutative Algebra (DE-588)4304013-5 gnd Operatortheorie (DE-588)4075665-8 gnd Endomorphismus (DE-588)4280121-7 gnd Operatorhalbgruppe (DE-588)4172620-0 gnd |
| subject_GND | (DE-588)4304013-5 (DE-588)4075665-8 (DE-588)4280121-7 (DE-588)4172620-0 |
| title | Noncommutative Dynamics and E-Semigroups |
| title_auth | Noncommutative Dynamics and E-Semigroups |
| title_exact_search | Noncommutative Dynamics and E-Semigroups |
| title_full | Noncommutative Dynamics and E-Semigroups by William Arveson |
| title_fullStr | Noncommutative Dynamics and E-Semigroups by William Arveson |
| title_full_unstemmed | Noncommutative Dynamics and E-Semigroups by William Arveson |
| title_short | Noncommutative Dynamics and E-Semigroups |
| title_sort | noncommutative dynamics and e semigroups |
| topic | Mathematics Operator theory Operator Theory Mathematik Nichtkommutative Algebra (DE-588)4304013-5 gnd Operatortheorie (DE-588)4075665-8 gnd Endomorphismus (DE-588)4280121-7 gnd Operatorhalbgruppe (DE-588)4172620-0 gnd |
| topic_facet | Mathematics Operator theory Operator Theory Mathematik Nichtkommutative Algebra Operatortheorie Endomorphismus Operatorhalbgruppe |
| url | https://doi.org/10.1007/978-0-387-21524-2 |
| work_keys_str_mv | AT arvesonwilliam noncommutativedynamicsandesemigroups |