Operator Algebras and Quantum Statistical Mechanics: C*- and W*-Algebras Symmetry Groups Decomposition of States
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1979
|
| Schriftenreihe: | Texts and Monographs in Physics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics. Subsequently we describe various applications to quantum statistical mechanics. At the outset of this project we intended to cover this material in one volume but in the course of development it was realized that this would entail the omission of various interesting topics or details. Consequently the book was split into two volumes, the first devoted to the general theory of operator algebras and the second to the applications. This splitting into theory and applications is conventional but somewhat arbitrary. In the last 15-20 years mathematical physicists have realized the importance of operator algebras and their states and automorphisms for problems offield theory and statistical mechanics. But the theory of 20 years ago was largely developed for the analysis of group representations and it was inadequate for many physical applications. Thus after a short honey moon period in which the new found tools of the extant theory were applied to the most amenable problems a longer and more interesting period ensued in which mathematical physicists were forced to redevelop the theory in relevant directions. New concepts were introduced, e. g. asymptotic abelianness and KMS states, new techniques applied, e. g. the Choquet theory of barycentric decomposition for states, and new structural results obtained, e. g. the existence of a continuum of nonisomorphic type-three factors |
| Beschreibung: | 1 Online-Ressource (XII, 500 p) |
| ISBN: | 9783662023136 9783662023150 |
| ISSN: | 1864-5879 |
| DOI: | 10.1007/978-3-662-02313-6 |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-02313-6 |
| format | Electronic eBook |
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| id | DE-604.BV042423192 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783662023136 9783662023150 |
| issn | 1864-5879 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858609 |
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| series2 | Texts and Monographs in Physics |
| spelling | Bratteli, Ola Verfasser aut Operator Algebras and Quantum Statistical Mechanics C*- and W*-Algebras Symmetry Groups Decomposition of States by Ola Bratteli, Derek W. Robinson Berlin, Heidelberg Springer Berlin Heidelberg 1979 1 Online-Ressource (XII, 500 p) txt rdacontent c rdamedia cr rdacarrier Texts and Monographs in Physics 1864-5879 In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics. Subsequently we describe various applications to quantum statistical mechanics. At the outset of this project we intended to cover this material in one volume but in the course of development it was realized that this would entail the omission of various interesting topics or details. Consequently the book was split into two volumes, the first devoted to the general theory of operator algebras and the second to the applications. This splitting into theory and applications is conventional but somewhat arbitrary. In the last 15-20 years mathematical physicists have realized the importance of operator algebras and their states and automorphisms for problems offield theory and statistical mechanics. But the theory of 20 years ago was largely developed for the analysis of group representations and it was inadequate for many physical applications. Thus after a short honey moon period in which the new found tools of the extant theory were applied to the most amenable problems a longer and more interesting period ensued in which mathematical physicists were forced to redevelop the theory in relevant directions. New concepts were introduced, e. g. asymptotic abelianness and KMS states, new techniques applied, e. g. the Choquet theory of barycentric decomposition for states, and new structural results obtained, e. g. the existence of a continuum of nonisomorphic type-three factors Mathematics Algebra Group theory Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Group Theory and Generalizations Mathematik Mathematische Physik Robinson, Derek W. 1935- Sonstige (DE-588)107889455 oth https://doi.org/10.1007/978-3-662-02313-6 Verlag Volltext |
| spellingShingle | Bratteli, Ola Operator Algebras and Quantum Statistical Mechanics C*- and W*-Algebras Symmetry Groups Decomposition of States Mathematics Algebra Group theory Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Group Theory and Generalizations Mathematik Mathematische Physik |
| title | Operator Algebras and Quantum Statistical Mechanics C*- and W*-Algebras Symmetry Groups Decomposition of States |
| title_auth | Operator Algebras and Quantum Statistical Mechanics C*- and W*-Algebras Symmetry Groups Decomposition of States |
| title_exact_search | Operator Algebras and Quantum Statistical Mechanics C*- and W*-Algebras Symmetry Groups Decomposition of States |
| title_full | Operator Algebras and Quantum Statistical Mechanics C*- and W*-Algebras Symmetry Groups Decomposition of States by Ola Bratteli, Derek W. Robinson |
| title_fullStr | Operator Algebras and Quantum Statistical Mechanics C*- and W*-Algebras Symmetry Groups Decomposition of States by Ola Bratteli, Derek W. Robinson |
| title_full_unstemmed | Operator Algebras and Quantum Statistical Mechanics C*- and W*-Algebras Symmetry Groups Decomposition of States by Ola Bratteli, Derek W. Robinson |
| title_short | Operator Algebras and Quantum Statistical Mechanics |
| title_sort | operator algebras and quantum statistical mechanics c and w algebras symmetry groups decomposition of states |
| title_sub | C*- and W*-Algebras Symmetry Groups Decomposition of States |
| topic | Mathematics Algebra Group theory Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Group Theory and Generalizations Mathematik Mathematische Physik |
| topic_facet | Mathematics Algebra Group theory Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Group Theory and Generalizations Mathematik Mathematische Physik |
| url | https://doi.org/10.1007/978-3-662-02313-6 |
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