1 edition of **Operator Algebras and Quantum Statistical Mechanics** found in the catalog.

- 391 Want to read
- 1 Currently reading

Published
**1979** by Springer Berlin Heidelberg, Imprint: Springer in Berlin, Heidelberg .

Written in English

- Group theory,
- Mathematical physics,
- Physics

**Edition Notes**

Statement | by Ola Bratteli, Derek W. Robinson |

Series | Texts and Monographs in Physics, 1864-5879, Texts and monographs in physics |

Contributions | Robinson, Derek W. |

Classifications | |
---|---|

LC Classifications | QC5.53 |

The Physical Object | |

Format | [electronic resource] : |

Pagination | 1 online resource (XII, 500 p.) |

Number of Pages | 500 |

ID Numbers | |

Open Library | OL27078800M |

ISBN 10 | 366202313X |

ISBN 10 | 9783662023136 |

OCLC/WorldCa | 840302421 |

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In this chapter, and the following one, we examine various applications of C*-algebras and their states to statistical mechanics. Principally we analyze the structural properties of the equilibrium states of quantum systems con sisting of a large number of particles.

In Chapter 1 we argued that. The first approach begins with the specific description of finite systems and their equilibrium states provided by quantum statistical mechanics.

One then rephrases this description in an algebraic language which identifies the equilibrium states as states over a quasi-local C*-algebra generated by sub algebras corresponding to the. 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 : Hardcover. For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. It describes the general structure of equilibrium states, the KMS-condition and stability, quantum spin systems and continuous systems.

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. 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 In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of /5(3).

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ISBN: OCLC Number: Series Title: Texts and monographs in physics. Other Titles: Equilibrium states; models in quantum statistical mechanics. Operator Algebras and Quantum Statistical Mechanics II: Equilibrium States, Model in Quantum, Statistical Mechanics (Texts and Monographs in Physics) by Ola Bratteli (Author), Derek W.

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Download for offline reading, highlight, bookmark or take notes while you read Operator Algebras and Quantum Statistical /5(3). In functional analysis, an operator algebra is an algebra of continuous linear operators on a topological vector space with the multiplication given by the composition of mappings.

The results obtained in the study of operator algebras are phrased in algebraic terms, while the techniques used are highly analytic. Although the study of operator algebras is usually classified as a branch of. 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 : Capa dura. For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics.

It describes the general structure of equilibrium states, the KMS-condition and stability, quantum spin systems and continuous changes in the new edition relate to Bose--Einstein condensation, the dynamics of the X-Y model and questions on phase.

Fundamentals of the Theory of Operator Algebras, Vols. I--IV by R. Kadison and J. Ringrose, C*-algebras and W*-algebras by S. Sakai, Operator Algebras and Quantum Statistical Mechanics, Vols.

I and II by Ola Bratteli and Derek William Robinson Quantum Symmetries on Operator Algebras by David E. Evans and Yasuyuki Kawahigashi. Operator Algebras and Quantum Statistical Mechanics by Ola Bratteli, Derek W.

Robinson. Publisher: Springer ISBN/ASIN: ISBN Number of pages: Description: These two volumes present the theory of operator algebras with. This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics.

The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. About Book Book Description This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics.

The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. OPERATOR ALGEBRAS AND QUANTUM STATISTICAL MECHANICS 1: C * ‐ and W * ‐Algebras. Symmetry Groups. Decomposition of : C. Batty. mathematical physics of quantum systems with inﬁnitely many degrees of freedom.

We therefore indicate the necessity of going beyond the type I case in Section 6, where we discuss quantum statistical mechanics and relativistic quantum ﬁeld theory, showing how non-type–I algebras arise in situations of immediate physical interest.

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Subsequently we describe various applications to quantum statistical mechanics. At the outset of this project we Price: $ For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. It describes the general structure of equilibrium states, the KMS-condition and stability, quantum spin systems and continuous changes in the new edition relate to Bose--Einstein condensation, the dynamics of the X-Y model and questions on phase.

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OLA BRATTELI (Institutt for Mathematik, Universitetet 1 Trondheim,Norway) and DEREK W. ROBINSON (School of Mathematics, University of New South Wales, Kensington, Australia): Texts and Monographs in Physics. Book Summary: The title of this book is Operator Algebras and Quantum Statistical Mechanics and it was written by Ola Bratteli, Derek William particular edition is in a Paperback format.

This books publish date is and it has a suggested retail price of $Pages: This book is addressed to graduate students and researchers working in a broad spectrum of areas in mathematics and mathematical physics. Functional analysis, operator algebras, operator theory, differential geometry, cyclic cohomology, \(K\)-theory, and index theory are applied to questions in the quantum theory of fields and statistical.

Connes, Alain and Evans, David E. Embeddings ofU(1)-current algebras in non-commutative algebras of classical statistical mechanics. Communications in Mathematical Physics, Vol.Issue.

3, p. Cited by: It describes the general structure of equilibrium states, the KMS condition and stability, quantum spin systems and continuous systems. The Notes and Remarks have been considerably augmented. Users who liked this book, also liked. Operator Algebras and Quantum Statistical Mechanics 1: C - And W.

Operator Algebras and Quantum Statistical Mechanics 1 作者: Bratteli, Ola/ Robinson, D. 出版社: Springer Verlag 页数: 定价: 装帧: HRD ISBN: Since its inception in the famous paper by Birkhoff and von Neumann entitled “The logic of quantum mechanics” quantum logic, i.e.

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We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum systems and their consequences.

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71 Problems 73 5 Motion in step potentials 75 Square potential well 75 D Operators in classical statistical mechanics E Lie groups and Lie algebras Index Preface This book is the fruit of for many years teaching the introduction to quan-tum mechanics to second-year students.