Operator Algebras and Quantum Statistical Mechanics 1: C*- and W*-Algebras Symmetry Groups Decomposition of States
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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1987
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Texts and Monographs in Physics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | 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 develop ment it was realized that this would entail the omission ofvarious 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 of field theory and statistical mechanics. But the theory of 20 years aga 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 abelian ness 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 (XIV, 506 p) |
| ISBN: | 9783662025208 |
| DOI: | 10.1007/978-3-662-02520-8 |
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| id | DE-604.BV045186479 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:57Z |
| institution | BVB |
| isbn | 9783662025208 |
| language | English |
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| publishDate | 1987 |
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| spelling | Bratteli, Ola Verfasser aut Operator Algebras and Quantum Statistical Mechanics 1 C*- and W*-Algebras Symmetry Groups Decomposition of States by Ola Bratteli, Derek W. Robinson Second Edition Berlin, Heidelberg Springer Berlin Heidelberg 1987 1 Online-Ressource (XIV, 506 p) txt rdacontent c rdamedia cr rdacarrier Texts and Monographs in Physics 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 develop ment it was realized that this would entail the omission ofvarious 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 of field theory and statistical mechanics. But the theory of 20 years aga 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 abelian ness 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 Engineering Appl.Mathematics/Computational Methods of Engineering Mathematical Methods in Physics Numerical and Computational Physics Physics Applied mathematics Engineering mathematics Robinson, Derek W. aut Erscheint auch als Druck-Ausgabe 9783642057366 https://doi.org/10.1007/978-3-662-02520-8 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Bratteli, Ola Robinson, Derek W. Operator Algebras and Quantum Statistical Mechanics 1 C*- and W*-Algebras Symmetry Groups Decomposition of States Engineering Appl.Mathematics/Computational Methods of Engineering Mathematical Methods in Physics Numerical and Computational Physics Physics Applied mathematics Engineering mathematics |
| title | Operator Algebras and Quantum Statistical Mechanics 1 C*- and W*-Algebras Symmetry Groups Decomposition of States |
| title_auth | Operator Algebras and Quantum Statistical Mechanics 1 C*- and W*-Algebras Symmetry Groups Decomposition of States |
| title_exact_search | Operator Algebras and Quantum Statistical Mechanics 1 C*- and W*-Algebras Symmetry Groups Decomposition of States |
| title_full | Operator Algebras and Quantum Statistical Mechanics 1 C*- and W*-Algebras Symmetry Groups Decomposition of States by Ola Bratteli, Derek W. Robinson |
| title_fullStr | Operator Algebras and Quantum Statistical Mechanics 1 C*- and W*-Algebras Symmetry Groups Decomposition of States by Ola Bratteli, Derek W. Robinson |
| title_full_unstemmed | Operator Algebras and Quantum Statistical Mechanics 1 C*- and W*-Algebras Symmetry Groups Decomposition of States by Ola Bratteli, Derek W. Robinson |
| title_short | Operator Algebras and Quantum Statistical Mechanics 1 |
| title_sort | operator algebras and quantum statistical mechanics 1 c and w algebras symmetry groups decomposition of states |
| title_sub | C*- and W*-Algebras Symmetry Groups Decomposition of States |
| topic | Engineering Appl.Mathematics/Computational Methods of Engineering Mathematical Methods in Physics Numerical and Computational Physics Physics Applied mathematics Engineering mathematics |
| topic_facet | Engineering Appl.Mathematics/Computational Methods of Engineering Mathematical Methods in Physics Numerical and Computational Physics Physics Applied mathematics Engineering mathematics |
| url | https://doi.org/10.1007/978-3-662-02520-8 |
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