2 edition of **C*-Algebras and their applications to statistical mechanics and quantum field theory** found in the catalog.

C*-Algebras and their applications to statistical mechanics and quantum field theory

International School of Physics "Enrico Fermi"

- 196 Want to read
- 28 Currently reading

Published
**1976** by North-Holland in Amsterdam, New York .

Written in English

- C*-algebras.,
- Statistical mechanics.

**Edition Notes**

Statement | edited by D. Kastler. |

Series | Its Proceedings -- course 60. |

Contributions | Kastler, Daniel., Societa italiana di fisica. |

The Physical Object | |
---|---|

Pagination | viii, 262 p. [l] leaf of plates : |

Number of Pages | 262 |

ID Numbers | |

Open Library | OL14234691M |

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Applications to physics, especially quantum field theory, has also resulted in fruitful collaborations between mathematicians and physicists.

The author has given an introduction to C*-algebras in this book from the purely mathematical standpoint, but those interested in applications can gain much from the reading of this by: Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more.

Applications to particle physics include quantum electrodynamics and chromodynamics, electroweak interactions, and lattice gauge theories. The book is based on courses given over several years on statistical mechanics and field theory, and is written at graduate by: This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe.

They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain.

J. Ginibre: Statistical Mechanics and Field Theory (ed. DeWitt and R. Stora, Gordon and Breach, New York, ) pp– Google ScholarCited by: H. Araki, “Positive cone, Radon–Nikodym theorems, relative Hamiltonians and the Gibbs condition in statistical mechanics,” C *-Algebras and their Applications to Statistical Mechanics and Quantum Field Theory, edited by D.

Kastler (Editrice Compositori, Bologna, ). Google Scholar; 3. by: The concept of scaling is introduced early and used extensively throughout the text.

At the heart of the book is an extensive treatment of mean field theory, from the simplest decoupling approach, through the density matrix formalism, to self-consistent classical and quantum field theory as well as exact solutions on the Cayley tree.

vates the introduction an algebraic formulation of quantum statistical mechanics without any (explicit) references to Hilbert spaces. This description will be the main subject of this course on the mathematics of quantum phase transitions.

Bibliography: [1] Emch, Algebraic Methods in Statistical Mechanics and Quantum Field Theory. Dover. New File Size: 1MB. The expansion in ϵ=4-d is explained [d is the dimension of space (statistical mechanics) or space time (quantum field theory)).

The emphasis is on principles, not particular applications. C* - algebras and their applications to statistical mechanics and quantum field theory: proceedings of the International School of Physics 'Enrico Fermi', course LX, Varenna on Lake Como, Villa Monastero, 23rd July-4th August (Book, ) [] Get this from a library.

[R] Robinson, D.W.: C ∗-algebras in quantum statistical mechanics, in C ∗-algebras and their Applications to Statistical Mechanics and Quantum Field Theory, (D. Kastler editor), Amsterdam. Algebraic Quantum Field Theory – an introduction Christopher J Fewster∗1 and Kasia Rejzner†1 1Department of Mathematics, University of York, Heslington, York YO10 5DD, United Kingdom.

Novem Abstract Wegive a pedagogical introduction toalgebraic quantum ﬁeldtheory (AQFT),with the aim of explaining its key structures and features.

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In the last 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. Quantum Statistical Mechanics There are limitations to the applicability of classical statistical mechanics. The need to include quantum mechanical eﬀects becomes specially apparent at low temperatures.

In this section we shall ﬁrst demonstrate the failure of the classical results in the contextsFile Size: KB. GUERRA, On the Connection between Euclidean-Markov Field Theory and Stochastic Quantization, in "C*-Algebras and their Applications to Statistical Mechanics and Quantum Field Theory," (D.

Kastler, Ed.), North-Holland, Amsterdam, Cited by: 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.

Robert F. Sekerka, in Thermal Physics, Abstract. Two types of averaging occur in quantum statistical mechanics, the first for pure quantum mechanical states and the second for a statistical ensemble of pure define and exhibit the properties of density operators and their density matrix representation for both pure and statistical states.

C*-algebras and their applications to statistical mechanics and quantum field theory. Amsterdam ; New York: North-Holland Pub. Co., (OCoLC) Material Type: Conference publication: Document Type: Book: All Authors / Contributors: Daniel Kastler; Società italiana di fisica. In chapter 5, we discussed the classical relativistic statistical mechanics of a many-body this chapter, we discuss the construction of quantum statistical mechanics.

The development of this theory for the special choice of was discussed in [].Here we work in the more general framework discussed in section We show that much of the analysis given there is applicable to the quantum.

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An Algebraic Approach for Spontaneous Symmetry Breaking in Quantum Statistical Mechanics. Authors; Authors and affiliations (to appear);Araki, H., in Japan — US Conference on C* algebras and their Applications in Physics () on C*algebras and their Applications to Statistical Mechanics and Quantum Field Theory, Kastler, D., ed Cited by: 5.

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The author has given an introduction to C*-algebras in this book from the purely mathematical standpoint, but those interested in applications can gain much from the reading of this book.5/5(6). C* Algebra and Their Applications to Statistical Mechanics and Quantum Field Theory (Mathematical Physics) Kastler, D.

Chaos in Classical and Quantum Mechanics (Mathematical Physics) Gutzwiller, Martin C. Chaotic Evolution and Strange Attractors (Mathematical Physics) Ruelle, David: In addition to the mathematics of quantum mechanics, we’ll spend another ﬁve hours exploring the “physics” of quantum mechanics.

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